Question

Divide 60 in the ratio of 2:3

Answer 1

Ans=2x+3x=60
5x=60
X=60/5
X=12
2x=2*12=24
3x=3*12=36
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Answer 2

Given:

• The ratio 2:3 and a number 60

To Find:

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

Solution:

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

a:b = $\frac{a}{a+b}$ × M and $\frac{b}{a+b}$ × M

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

∴ 2:3 = $\frac{2}{2+3}$ × 60 and $\frac{3}{2+3}$ × 60

On adding the denominators of the above equation we get,

⇒ 2:3 = $\frac{2}{5}$ × 60 and $\frac{3}{5}$ × 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 the ratio of 2:3