The sum of ages of suresh and his father is 78 years. 6 years hence father's age will be twice of suresh's age. Find the present age of father
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Father's age = 56
Given:
The sum of ages of suresh and his father is 78 years
After 6 years, Father's age will be twice of Suresh's age
To find:
Find the present age of father
Solution:
Let x and y be the ages of Suresh and his father
Given that sum of their ages = 78
⇒ x + y = 78 ----(1)
After 6 years their age will be x+6 and y+6
Given that After 6 years, Father's age will be twice of Suresh's age
⇒ (y+6) = 2(x+6)
⇒ y + 6 = 2x + 12
⇒ 2x - y = -12 -----(2)
⇒ Add (2) and (1)
⇒ x + y + 2x - y = 78 - 12
⇒ 3x = 66
⇒ x = 22
From (1) y = 78 - x
y = 56
Therefore, Father's age = 56
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