Question

one fourth of a number added to two seventh of it gives 135. find the number​

Answer 1

let the number be x

1/4x + 2/7x =135

LCM of 4 and 7 is 28

(7+8)x/28=135

15x=135×28

x=135 × 28/15

x=9×28=252

Answer 2

Answer:

the number is 252

Step-by-step explanation:

• let the number be x
• one fourth of the number = 1/4 x
• two seventh of the number = 2/7 x

$\frac{1}{4} x + \frac{2}{7} x = 135 \\ > > lcm \: of \: 4 \: and \: 7 \: is \: 28 < < \\ \frac{7x + 8x}{28} = 135 \\ 15x = 135 \times 28 \\ x = \frac{135 \times 28}{15} \\ x = \frac{3780}{15} \\ x = 252$