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

Answer:

x=180

the answer of your question is 180

Answer 2

let the number be "x"

1/4 of a number=x/4

1/3 of that number=x/3

15 greater than half of that number=(x/2) +15

If 1/4 of a number is added to 1/3 of that number

the result is 15 greater than half of that number

$\frac{x}{4} + \frac{x}{3} = \frac{x}{2} + 15 \\ = > \frac{3x + 4x}{12} = \frac{x + 30}{2} \\ = > \frac{7x}{12} = \frac{x + 30}{2} \\ by \: cross \: multiplication \\ = > 2 \times 7x = 12(x + 30) \\ = > 14x = 12x + 360 \\ = > 14x - 12x = 360 \\ = > 2x = 360 \\ = > x = 180$