Question

if the rs 45 is divided among three children in the ratio 1/3:1/6:1/4

Answer 1

hence the divided money is Rs 20,Rs.10 and Rs 15

Answer 2

Answer:

20, 10 and 15

Step-by-step explanation:

It is given that rupees 45 is divided among three children in the ratio 1/3:1/6:1/4.

Let the first, second and third child get $\frac{1}{3}x,\frac{1}{6}x,\frac{1}{4}x$ respectively, where x is a positive real number.

$\frac{1}{3}x+\frac{1}{6}x+\frac{1}{4}x=45$

$\frac{4x+2x+3x}{12}=45$

$\frac{9x}{12}=45$

$\frac{3}{4}x=45$

Multiply both sides by 4.

$3x=180$

Divide both sides by 3.

$x=\frac{180}{3}$

$x=60$

The value of x is 60.

First student get

$\frac{1}{3}x=\frac{1}{3}(60)=20$

Second student get

$\frac{1}{6}(60)=10$

Third student get

$\frac{1}{4}(60)=15$

Therefore, the rs 45 is divided among three children as 20, 10 and 15 receptively.