Question

Divide 104 pencils among three children in the ratio 1/2:1/3:1/4.

Answer 1

Answer:

answer for the given problem is given

Answer 2

Step-by-step explanation:

Given that, 104 pencils are there which is to be divided among three children in the ratio

½ : ⅓ : ¼

Let's assume that the number of pencils to be are :

$\sf \frac{x}{2} \:, \frac{x}{3} \: and \: \frac{x}{4}$

According to the question,

$\sf : \implies \: \frac{x}{2} + \frac{x}{3} + \frac{x}{4} = 104 \\ \sf : \implies \: \frac{6x + 4x + 3x}{12} = 104\\ \sf : \implies \: \frac{13x}{12} = 104\\ \sf : \implies \: x = \frac{104 \times 12}{13} \\ \sf : \implies \: x = 96$

Hence,

The numbers are :

$\sf \longrightarrow \: \frac{x}{2} = \frac{96}{2} = 48\\ \sf \longrightarrow \: \frac{x}{3} = \frac{96}{3} = 32\\ \sf \longrightarrow \: \frac{x}{4} = \frac{96}{4} = 24 \: ans.$