Question

the ratio of the age of father and son in a family is 11:6. if the age of mother is added to the age of the son then the ratio becomes 11:16.if the age of the son is 30 years what is the age of the mother​

Answer 1

Answer:

As the ratio of age of father and son is 11:6.

Father age = 11X and son age = 6X.

let Y be the mother age.

then 11X/(6X+Y) = 11/16

=>11X(16) = 66X + 11Y

=>176X - 66X = 11Y

=>110X = 11Y

=>10X = Y

Since age of son is 30 yr

6X = 30

=>X = 5

then age of mother is Y = 10(5) = 50 yr.

So age of the mother is 50 yr.