The sum of a number and one seventh of it is 88.What is the number?

x + (1/7)x = 88


hint: multiply each term by 7 to clean up the fraction, and solve for x

To find the number, let's break down the problem and solve step by step.

Let's assume the number is represented by "x." According to the problem, the sum of the number and one seventh (1/7) of the number is equal to 88.

So, we can write the equation as:

x + (1/7)x = 88

To simplify the equation, we can combine the like terms:

(8/7)x = 88

Now, we need to isolate "x" to find the value. We can do this by multiplying both sides of the equation by the reciprocal of (8/7), which is (7/8):

(x) * (7/8) = (88) * (7/8)

This simplifies to:

(7x) / 8 = 77

To solve for "x," we need to get rid of the fraction by multiplying both sides of the equation by the reciprocal of (7/8), which is (8/7):

[(7x) / 8] * (8/7) = 77 * (8 / 7)

This simplifies to:

x = 88

So, the number is 88.