Answer:
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:

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:

Now, add the fractions:

Combine the like terms:

Now, solve for x:
15x = 135 * 28
15x = 3780
Divide both sides by 15:
x = 3780 / 15
x = 252
So, the number is 252.