A boy's age is one fourth of his mother age.Twelve year's from now, he will be half as old his mother. determine the present age
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Answer:
Let mother's present age be x years
So, boy's present age = x
4
Twelve years later
Mother's age=x+12
Boy's age= x+12
4
So,
x +12 = x+12
4 2
=>x+48 = x+12
4 2
=>x+48 = x+12
2
=> x+48 = 2(x+12)
=> x+48 = 2x+24
=> 48-24 = 2x-x
=> 24=x
=> x=24
So, mother's present age = x
= 24
Boy's present age = x
4
= 24
4
= 6
Hence, the present ages of the boy and his mother are 6 years and 24 years respectively.
Hope it helps you
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