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How do I answer this question on khan academy.

How do I answer this question on khan academy.-example-1
User Sbkl
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1 Answer

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If
b is Ben's age and
i is Ishaan's age, then

  • present day:
    b=4i
  • 6 years ago:
    b-6=6(i-6)

Rewrite the second equation as


b-6=6(i-6)\implies b-6=6i-36\implies b+30=6i

Substitute
b=4i into this equation to solve for
i:


b+30=6i\implies4i+30=6i\implies30=2i\implies i=15

Then


b=4i\implies b=4\cdot15=60

So Ben is 60 years old now.

User Austen Stone
by
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