Question

Sum of anushkas age and shrutis age is 31 .three years ago anushkas age was four times shrutis age

Answer 1

Answer:

Anushka age = 23 years

Shruti age = 8 years

Step-by-step explanation:

let Anushka age be x

Shruti age be y

sum of their ages is 31

x + y = 31 equ (1)

three years ago

Anushka age = x - 3

Shruti age = y - 3

Anushka was 4 times Shruti age

x - 3 = 4(y - 3)

x - 3 = 4y - 12

x - 4y = - 12 + 3

x - 4y = -9 equ (2)

subtract (1) - (2)

x + y - (x - 4y) = 31 - (-9)

x + y - x + 4y = 31 + 9

5y = 40

y = 40/5

y = 8

substitute y = 8 in equ (1)

x + y = 31

x + 8 = 31

x = 31 - 8

x = 23

Anushka age = x = 23 years

Shruti age = y = 8 years

hope you get your answer