Question

Write a linear equation for following statement :- “The sum of one-third, one fourth and half of a number is 169.”v

PLS REPLY FAST!!!!​

Answer 1

The sum of one-third, one fourth and half of a number is 169.

Let the number be "x".

$\frac{1}{3} x + \frac{1}{4} x + \frac{1}{2} x = 169 \\ L.C.M.=12 \\ \frac{4x + 3x + 6x}{12} = 169 \\ \frac{13x}{12} = 169 \\ x = \frac{169 \times 12}{13} \\ x = 13 \times 12 \\ x = 156$

x = 156

Therefore,

The number will be 156