Question

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

Answer 1

The number is 252.

Let's break down the problem step by step:

Let the number be represented by "x".

According to the problem, we have two conditions:

One-fourth of the number: (1/4) * x

Two-sevenths of the number: (2/7) * x

We are given that the sum of these two expressions is equal to 135:

`(1)/(4)x+(2)/(7) x=135`

To solve for x, we'll first find a common denominator for 4 and 7, which is 28. Then we'll rewrite the fractions with this common denominator:

`(7)/(28)x+(8)/(28)x =135`

Now, add the fractions:

`(7x+8x)/(28)=135`

Combine the like terms:

`(15x)/(28)`

Now, solve for x:

15x = 135 * 28

15x = 3780

Divide both sides by 15:

x = 3780 / 15

x = 252

So, the number is 252.