Question

The sum of three times of the age of son and the age of his father is 110 . If three times the age of his father is added to the age of son we get 170. what is the sum of their ages?Find their ages​

Answer 1

Answer:

Let the age of the son be x and the age of the father be y

3x+y=110 (eq 1)

x+3y=170 (eq 2)

Find y in eq 1

3x+y=110

y=110-3x

Substitute in eq 2

x+3y=170

x+3 (110-3x) = 170

x+330-9x = 170

-8x=170-330

-8x=-160

x=20

The son is 20 years old

Substitute x=20 in eq 1

3x+y=110

3 (20)+y=110

60+y=110

y=50

The father is 50 years old.

Age of father=50

Age of child=20

Sum of father and child's age=50+20

                                                =70

Step-by-step explanation:

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