Answer:
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)