Answer:
15 years
Step-by-step explanation:
Complete Question:
Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan. How old is Ishaan now?
Let Ben's age be "b" and Ishaan's age be "i"
Since Ben is 4 times as Ishaan, we can write:
b = 4i
Ben was 6 times as Ishaan, BUT 6 years ago, we setup the equation like shown below:
b - 6 = 6(i - 6)
Multiplying, we have:
[tex]b - 6 = 6(i - 6)\\b-6=6i-36[/tex]
Now, we replace b with "4i" and solve for i (Ishaan's age now):
[tex]b-6=6i-36\\4i-6=6i-36\\2i=30\\i=\frac{30}{2}\\i=15[/tex]
Ishaan is now 15 years old
