SOLUTION: Ishaan is 72 years old and William is 4 years old. How many years will it take until Ishaan is only 5555 times as old as William?

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Question 1106819: Ishaan is 72 years old and William is 4 years old.
How many years will it take until Ishaan is only 5555 times as old as William?

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


1) by logical reasoning....

The difference in their ages is 68 years.
When Ishaan is 5 times as old as William, their ages can be represented by x and 5x; the difference of those is 4x.
So we want to know when 4x is equal to 68.
4x = 68 --> x = 17.
Ishaan will be 5 times as old as William when William is 17.
William is 4 now; he will be 17 in 13 years.

Answer: Ishaan will be 5 times as old as William 13 years from now.

2) by algebra...

Let x be the number of years it will be until Ishaan is 5 times as old as William.
Their ages x years from now will be 72+x and 4+x; we want 72+x to be 5 times as much as 4+x:
72%2Bx+=+5%284%2Bx%29
72%2Bx+=+20%2B5x
52+=+4x
13+=+x