Question

three years ago the sum of Ages of father and his son was 40 years after 2 years the sum of Ages of the father and his son will be year​

Answer 1

years ago, sum of ages of father and his son was 40 years. After 2 years sum of age of father and son will be____________.

A

40

B

46

C

50

D

60

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Correct option is

C

50

Let present age of father and son be x and y respectively

then 3 years ago sum of then age is 40.

⇒(x−3)+(y−3)=40

x+y=46⇒y=46−x...(1)

After 2 years ; sum of age of father and son is

Let t=(x+2)+(y+2)

t=(x+2+46−x+2) from (1)

=46+4

t=50

So sum of their ages after 2 years = 50.