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  • Brainly User
2015-11-19T01:21:54+08:00

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Present age: x
Age six years ago:  x - 6
Age in eight years:  x + 8

Equation:
x - 6 =  \frac{1}{2} (x + 8)

x - 6 =  \frac{1}{2} x + 4

LCD: 2

(2)x - (2)6 = (2)  \frac{1}{2} x + (2) 4

2x - 12 = x + 8

2x - x = 8 + 12

x = 20

Leo is 20 years old now.

Check:
Present age: x = 20 years old
Age six years ago: x - 6 = 20 - 6 = 14 years old
Age in 8 years: x + 8 = 20 + 8 = 28 years old

Six years ago, Leo's age is half of his age in 8 years.
14 is half of 28.



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