Question

The sum of the present ages of mother and her daughter is 56 years. 4 years hence the daughters age will be 1 upon 3 that of the mother what are their present age​

Answer 1

Answer:

52 mother age this is the answer

Answer 2

GIVEN:

Sum of present ages of both persons is 56

After 4 years, the daughter will be 1/3 of mother's age

SOLUTION:

Let's first assume the present ages of the daughter and mother to be 'x' and 'y' respectively.

Case l:-

Sum of present ages = 56

==> x + y = 56 --------- (1)

Case ll:-

After 4 years, daughter is 1/3rd of mother's age...

==> 4 + x = 4 + (1/3 × y)

==> 4 + x = 4 + y/3

==> 4 + x = (12 + y)/3

==> 12 + 3x = 12 + y

==> 3x - y = 0

==> 3x = y --------- (2)

Substitute equation (2) in (1),

==> x + (3x) = 56

==> 4x = 56

∴ x = 14

Substitute x = 14 in equation 2,

==> 3(14) = y

∴ y = 42

---> Value of X = 14, Y = 42

∴ Daughter's age is 14 years, Mother's age is 42 years