Question

Ben is 444 times as old as Ishaan. 666 years ago, Ben was 666 times as old as Ishaan. How old is Ben now?

Answer 1

Answer:

Set up your variables:

Ben's current age = B

Ishaan's current age = X

 

Ben is 4 times as old as Ishaan.

Equation 1:

B = 4X

 

6 years ago, Ben was 6 times as old as Ishaan.

Equation 2:

B - 6 = 6(X - 6)

How old is Ishaan now?

Substitute the first Equation into the second.

B = 4X

B - 6 = 6(X - 6)

4X - 6 = 6(X - 6)

distribute the 6

4X - 6 = 6X - 36

combine like terms

36 - 6 = 6X - 4X

30 = 2X

30/2 = X

15 = X

 

*Check the answer

Ben is 4 times as old as Ishaan.

 

If Ishaan is 15 yrs old then Ben is 60 yrs old.

60 = 4*(15)

Six years ago Ishaan was 9 yrs old and Ben was 54.

Which would make Ben six times Ishaan's age.

54 = 6*(9)