# A boy is 10 yrs older than his brother. In 4 yrs he will be

2## Answers

let 'x' be the age of the boy at present

'y' be the age of his brother at present

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the boy is 10 years older than his brother

x = 10 + y ----------equation 1

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in 4 years, he will be twice as his brother's age

in 4 years, 'x+4' is the boy's age

'y+4' is his brother's age

x + 4 = 2(y+4) -------equation 2

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substitute equation 1 to equation 2

10 + y + 4 = 2(y+4)

10 + y + 4 = 2y + 8

10+4-8 = 2y-y

6 = y

**y = 6**

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Substitute y = 6 to equation 1

x = 10 + y

x = 10 + 6

**x = 16**

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Therefore the age of the boy is 16 and his brother's age is 6