Question

If 1 / 4 of a number is added to 1 / 3 of that number, the result is 15 greater than half of that number. Find the number.​

Answer 1

Let the number be x

1/4 of a number = x/4

1/3 of a number = x/3

half of the number = x/2

According to the problem given,

"1/4 of a number is added to 1/3 of that number the result is 15 greater than half of that number"

$\frac{x}{4}+\frac{x}{3}=\frac{x}{2}+15$

$\implies \frac{x}{4}+\frac{x}{3}-\frac{x}{2}$

$\implies \frac{3x+4x-6x}{12}=15$

$\implies \frac{x}{12}=15$

$\implies x = 15 \times 12$

$\implies x = 180$

Therefore,

Required number = x = 180

Answer 2

Answer:

180

Step-by-step explanation:

Let the number be 'x'

1/4x + 1/3x = 1/2x + 15

1/4x + 1/3x - 1/2x = 15

LCM of 4,3,2 is 12

(1*3x + 1*4x + 1*6x)/12 = 15

(7x-6x)/12 = 15

x = 15*12

x = 180

Hope you got the answer.