Question

the sum of present ages of Ria and Abby is 48 years. Today Abby is 4 years older than Shweata. The respective ratio of the present ages of Ria and Shweta is 4:7. What was Abby's age two years ago?​

Answer 1

Answer:

30 years

Step-by-step explanation:

Ria + Abby = 48 years

Given: Abby = Shweta + 4 (years)

Ria:Shweta = 4:7

Let ages of Ria and Shweta be equal to 4x and 7x respectively.

Then, Abby= 7x + 4 ..(1)

And, 4x + Abby = 48

Abby = 48 - 4x (2)

(1) = (2)

=> 7x + 4 = 48 - 4x

=> 11x = 44

=> x = 4 years

Abby= 7x + 4 = 28 + 4 = 32 years

Age two years ago = 32 - 2 = 30 years

Hope it Helps!!