Question

The sum of father's age and twice the age of his son is 70. If we double the age of the father and add it to the age of his son the sum is 95. Find their present ages.

Answer 1

Answer:

Father's age = 40 years

Son's age = 15 years

Step-by-step explanation:

Let's assume father's current age is F and son's current age is S. Then :

F + 2*S = 70 (1)

2*F + S = 95 (2)

Multiplying equation (2) by 2

4*F + 2*S = 190 (3)

subtracting equation (1) from equation (3)

3*F = 120

F = 40 years

Putting value of F in equation (2)

2*40 + S = 95

S = 95 - 80 = 15 years

Answer 2

Answer: Father's age: 40

Son's age: 15

Let the father‘s age be x and son’s age be y.

From given condition,

x + 2y = 70 __(1)

From next condition,

2x + y = 95 __(2)

From (1),

x = 70 - 2y __(3)

Ssubstituting,

2(70 - 2y) + y = 95

140 - 4y + y = 95

3y = 45

y = 15 years

Substitute y = 15 in (3), we get  

x = 40 years

Thus, Father's age: 40 years and Son's age: 15 years