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Question

Hamad's father is 26 year younger than Hamad's grandfather and 26 year older than Hamad. The sum of the ages of all the three is 135 years what is the age of each one of them?

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Solution

Let Hamad's father's present age be x years
Given Hamad'�s father is 26 years older than Baichung
Hence Hamad's age is (x − 26) years
Hamad's grandfather is 26 years older than Hamad'�s father.
Hence Hamad's grandfather�s age = (x + 26) years
Given sum of three ages = 135 years
∴ x + (x − 26) +(x + 26) = 135
3x = 135
∴ x = 45
Hamad's father�s age = 45 years
Hamad'�s grandfather�s age = (x + 26) = (45 + 26) = 71 years
Hamad's age = (x − 26) = (45 − 26) = 19 years

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