Question

The present age mother and daughter is the ratio of 3:1 after 5 years, if the ratio of their ages will be 5:2, find their present ages.

Answer 1

Answer:

Daughter's age is 16 and mother's is 40

Step-by-step explanation:

let's assume that the present age of the mother is x and daughter's is y

step 1

sum of their present age is 56

Equation 1 : x+y = 56

Equation 2 : x= (56-y)

4 years ago their age ratio is 3:1

step 2

Equation 3 : [(x-4)/[(y-4)] = [3/1]

from Equation 1 and 2 we can write Equation 3 as

by putting the value x= (56-y) we get

[(56-y) - 4= 3 ( y -4)

52 -y = 3y -12

64 = 4y

y = 16

And by putting value y in Equation 2 we get

x = (56-y)

x = 40

We can say that the present age of daughter's is 16 and mother's is 40