Question

Q. 48 5 years ago the ratio of the ages of a Mother and her Son was 6:1. After 10 years their ratio of the ages will be 9:4. Find the age of Mother after 5 years. (1) 45 yrs (2) 40 yrs (3) 35 yrs (4) 42 years​

Answer 1

Step-by-step explanation:

suppose mother's age is x in current time

Answer 2

Answer:

Step-by-step explanation:

Let the age of the mother be 8x, and that of the daughter be 3x.

After 5 years the ratio of their ages will be 9:4.

i.e. their ages will be (8x+5) and (3x+5)

According to question,

8x+5 3x+5 9

Cross multiply,

4(8x + 5) = 9(3x + 5)

32x + 20 = 27x + 45

32x 27x45 20

5x = 25

X = 25 55

x = 5

Mother's present age is

M = 8 x 5 = 40 years

Daughter's present age is

D = 3 x 5 = 15 years