Question

the LCM of samved and pruthas age is 40 and the ratio of their ages is 2:5.what is the sum of their ages?

Answer 1

The sum of their ages is 48 years.

Given, the LCM of Samved and Pruthas' age is 40.

Again, the ratio of their ages are 2:5

Let us assume the common ratio to be 'x'.

So,

Age of Samved = 2x

Age of Pruthas = 5x

LCM of 2x and 5x is 10x, as for 2 and 5 it is 10.

Thus, 10x = 40

So, x = 40/10 = 4

Age of Samved = 2x = 2(4) = 8 years

Age of Pruthas = 5x = 5(8) = 40 years

So, sum of their ages = (8+40) years = 48 years.