If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

# Age word problem: Imran

Sal solves the following age word problem: In 40 years, Imran will be 11 times as old as he is right now. How old is he right now? Created by Sal Khan.

## Want to join the conversation?

• please someone help me....I am homeschooled and i don't know how to solve these questions....so please can someone tell me how to solve these questions..I will be really grantfull to you even if you just helped me out in only one question!!..thanks

1.Mary's age is 2/3 that of Peter's.Two years ago Mary's age was 1/2 of what Peter's age will be in 5 years' time.How old is Peter now?

2.A half of what John's age was 4 years ago is equal to one third of what it will be in 5 years' time.How old is John now?>>>thanks<<< •  Define m as Mary's age, p as Peter's age, convert the problem into algebra notation.

1.Mary's age (m) is(=) 2/3 that of Peter's((2/3)*p).Two years ago Mary's age(m-2) was(=) 1/2 of what Peter's age will be in 5 years' time[(1/2)*(p+5)].How old is Peter now?

Get two equations...
m=(2/3)*p, and
(m-2)=(1/2)*(p+5), multiply 2nd eqn by 2 to eliminate fraction, so system is

m = (2/3) p
2m - 4 = p + 5, substitute value of m from 1st eqn into 2nd eqn, get

2((2/3)p) - 4 = p + 5, solve for p... simplify multiplication first

(4/3)p - 4 = p + 5, add 4 to both sides, get

(4/3)p = p + 9, subtract p from both sides, get
(1/3)p = 9, multiply both sides by 3 to eliminate fraction, get
p=27, Peter is 27 years old.

2.A half of what John's age was 4 years ago[(1/2)(j-4)] is(=) equal to one third of what it will be in 5 years' time[(1/3)(j+5)].How old is John now?

(1/2)(j-4) = (1/3)(j+5), I would multiply both sides by 6 to eliminate all the fractions... get
3(j-4) = 2(j+5), work through distributive property
3j - 12 = 2j + 10, add 12 to both sides
3j = 2j + 22, subtract 2j from both sides
j = 22
• I am having a lot of trouble solving these types of problems on the "Age word problem" questions. Could someone help me with this?
Here's an example:
Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel.
How old is Daniel now? • let k=kevins age now
let d=daniels age now
k=d+3, kevin is 3 yrs older than daniel now.
2 years ago, kevin was k-2 years old, daniel was d-2 years old, and kevin was 4 times daniels age:
(k-2)=4(d-2), which becomes k-2=4d-8 then k=4d-6. we also know k=d+3 since kevin is 3 years older than daniel now. if you substitute for k, then 4d-6=k=d+3.
4d-6=d+3, 3d=9, d=3.
daniel is 3 years old now.
hope this helps
• When viewing these videos in the 8th grade, "Systems of equations" playlist, the elimination method of solving a system of equations has not been introduced.

This is jarring. It would be nice if the elimination method was introduced earlier, or these videos just used the substitution method. The sum of the ages of Jennie and Matt is 40. Jennie is 5 less than twice Matt's age. How old is Matt? • First, you would want to read it over and think of a way to convert this into an equation. so let's say Jennie's age is j and matt's age is m. Jennie's age is 5 less than twice matt's age so jenny's age(j)=2m-5. Jenny's and matt's ages add up to 40 so we know that jenny's age is
2m-5 and matt's age is m so 2m-5+m=40.
2m+m-5=40 lets get rid of the 5 so add 5 to both sides
2m+m=45
3m=45 (because 2m+m = 2m+1m=3m)
what times 3 is 45? divide both sides to find out
m=15 Matt is 15 years old. Jenny is 25.
• Kevin is 3years older than Daniel. Two years ago, Kevin was 4times as old as Daniel.

How old is Kevin now? • Help pls!

Ben is 4 times as old as Ishaan and is also 6 years older than Ishaan.

How old is Ishaan?

How do I do this?
(1 vote) • For anybody who is wondering how to do this...
Step 1: Determine the unknown values. In this case, the unknowns are Ishann's age and Ben's age.
Step 2: Assign a variable to the unknown values. For this problem, we will assign the variable y to Ben's age and x to Ishaan's age. Therefore, y=Ben's age and x=Ishann's age.
Step 3: Set up a system of two equations. The first equation is y=4x, because Ben's age (y) is four times Ishann's age (x). The second equation is y=x+6, because Ben's age (y) is 6 more than Ishann's age (x).
Step 4: Solve the system using substitution. The two equations are y=x+6 and y=4x. Y is equal to x+6, and y is also equal to 4x. Therefore, we can substitution x+6 for y in the equation y=4x (or vice versa), getting x+6=4x. We can solve this equation to get x=2. We can then find y by plugging 2 in for x in either of the original equations. 2+6=y, so y=8. 4(2)=y, so y=8.

Ishaan is 2 years old and Ben is 8 years old.
• Hi everyone, may be I missed smth, but why, for instance, if somebody in 16 will be as 3 times older as he now, his age at this moment is 8 by an equation like this b+16=3b? If I've reached now eight years old, so, my age times 2 is sixteen, not times three. So, in 16 I'll be as 2 times older as I now. Right? Is in this case some mentality difference of understanding of English or problems of my math understanding? • Sounds like the problem is asking you to compare your current age with your age 16 years into the future. You have the equation equation: b + 16 = 3b

b = your current age NOW, in 2018
In 16 years, your age becomes b+16
If your current age = 8, then in 16 years, your age = 8+16 = 24
Does 24 = 3 times your current age? Yes! 3*8 = 24.

In your analysis, you are only going 8 years into the future, not 16 years. The problem isn't saying your future age is 16, it is saying "your age in 16 years".
• I saw all of the age word problems. THEY ARE NOT SYSTEMS! They only use one equation. Not helpful!  • 