Thomas is 4 years older than his brother william. in five years the sum of their age will be 24. how old is each boy?

1 answer:

5 0

Let William be x years old.

Thomas = (4 + x) years

In five years,

William = (x + 5) years

Thomas = 4 + x + 5 = (9 + x) years

Given, in five years sum of their ages is 24.

x + 5 + 9 + x = 24

2x + 14 = 24

2x = 24 - 14

2x = 10

x = $\frac{10}{2}$

x = 5

Hence, William is 5 years old and Thomas is 9 years old.

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Substitute equation #1 into equation #2

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collect like terms on the same side of the equation

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Since 4 is afactor of each term, divide both sides of the equation by 4

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I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.

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