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6 yrs ago leo's age was half of the age he will be in 8 yrs.,how old is he now

Sagot :

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

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

x - 6 = [tex] \frac{1}{2} [/tex]x + 4

LCD: 2

(2)x - (2)6 = (2) [tex] \frac{1}{2} [/tex]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.