Question

Divide 60 in the ratio of 2:3​

Answer 1

Answer:

2x+3x=60

5x=60

x=12

hence 2:3 is 24&36

Answer 2

Given:

The ratio is 2:3 and the number 60

To Find:

The numbers when the number 60 is divided by the ratio of 2:3.

Solution:

There is a formula to divide the given number by the given ratios. The formula is,

a:b =  a × M and b × M

Here 'a' = 2, 'b' = 3, and 'M' = 60

∴ 2:3 =  × 60 and  × 60

On adding the denominators of the above equation we get,

⇒ 2:3 = 2 × 60 and 3 × 60

On cancellation of the divisible terms from the above equation we get,

⇒ 2:3 = 2×12 and 3×12

On multiplying the above equation we get,

⇒ 2:3 = 24 and 36

∴ 60 is divided as 24 and 36 in a ratio of 2:3