If twice the son's age in years is added to father's age the sum is 70. If twice the father's age is added to the son's age, the sum is 95. What are the ages of the father and the son?
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Let Son's age was X and father's age was Y.
Now, According to first condition,
2X + Y = 70 ------------------------------ (1)
According to second condition,
X + 2Y = 95 --------------------------- (2)
Solving Equation (1) and (2)
2X + Y - 2X - 4Y = 70 - 190
- 3Y = - 120
Y = 40.
2X + Y = 70
2X + 40 = 70
X = 15.
Son's age = 15 years.
His father's age = 40 years