the age of a person is twice the sum of the ages of his two sons and five years ago his age was thrice the sum of their ages. find his present age
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Let the sum of ages of 2 sons be x.
As per statement the age of the person is twice the sum of the age of 2 sons
Hence this person's age is 2x
5 years back his age was thrice the sum of their age
5 years back this person age 2x - 5 and thrice the sum of two sons ages was 3 (x - 10)
2x - 5 = 3(x - 10)
2x - 5 = 3x - 30
2x - 3x = 5 - 30
—x = —25
x = 25
The sum of ages of two sons is 25 years, thus this man age 2x = 2 × 25 = 50 years.
Answer the present age of this person is 50 years
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