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

$\mathfrak{\huge{Solution:-}}$



Let the number be x.

$\sf x ÷ 4 + x ÷ 3 = x ÷ 2 + 15 \\ \sf 7x ÷ 12 = (x + 30) ÷ 2 \\ \sf 14x = 12x + 360 \\ \sf 2x = 360 \\ \sf x = 180$

The number = 180

$\sf180 ÷ 4 = 45 \\ \sf 180 ÷ 3 = 60 \\ \sf 60 + 45 = 105 \\ \sf 180 ÷ 2 = 90 \\\sf 90 + 15 = 105$