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Jinu's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

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by Dylan

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by Dylan

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Jinu's present age =2x/5

After 8 years

mothers age=x+8

jinu's age=(x+8(/2

i.e,2x/5+8=(x+8)/2

=>(2x+40)/5=(x+8)/2

=>x=4

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Jinu's mother's present age = x

Jinu's age = (2/5)x

After 8 years Jinu's mother's age = x+8

After 8 years Jinu's age = (2/5)x +8

(2/5)x +8 = (x+8)/2

(2x+40)/5 = (x+8)/2

(2x+40)*2 = (x+8)*5

4x+80 = 5x+40

x = 40

Jinu's mother's present age = 40 years

Jinu's age = (2/5)x

After 8 years Jinu's mother's age = x+8

After 8 years Jinu's age = (2/5)x +8

(2/5)x +8 = (x+8)/2

(2x+40)/5 = (x+8)/2

(2x+40)*2 = (x+8)*5

4x+80 = 5x+40

x = 40

Jinu's mother's present age = 40 years