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 of
Answers
DKG DEXTEROUS ZONE
DK GOLA CLASSES
Present age of person is 50 years old
Solution:
Let the present sum of ages of 2 sons be x
Given that,
Age of a person is twice the sum of the ages of his two sons
Present age of person = 2(x)
Present age of person = 2x
Five years ago his age was thrice the sum of their ages
Age of person 5 years ago = 2x - 5
Sum of ages of two sons 5 years ago = x - 5 - 5 = x - 10
Then, according to given,
Age of person 5 years ago = thrice the Sum of ages of two sons 5 years ago
2x - 5 = 3(x - 10)
2x - 5 = 3x - 30
3x - 2x = 30 - 5
x = 25
Therefore,
Present age of person = 2x = 2(25) = 50
Thus Present age of person is 50 years old
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