Ben is 4 times as old as ishaan. 6 years ago, ben was 6 times as old as ishaan. how old is ishaan now?

Step-by-step explanation:

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)

rotation point l

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