The sum of a number and one seventh of it is 88.What is the number?
x + x/7 = 88
Ans
Let's break down the problem step-by-step.
Let's assume the number is "x".
Step 1: Write the given information as an equation.
"The sum of a number and one seventh of it is 88" can be written as:
x + (1/7)x = 88
Step 2: Simplify the equation.
The equation becomes:
(8/7)x = 88
Step 3: Solve for "x".
To isolate "x", we need to multiply both sides of the equation by the reciprocal (7/8):
(8/7)x * (7/8) = 88 * (7/8)
x = 616/8
x = 77
So, the number is 77.
To find the number, we can set up an equation based on the given information.
Let's assume the number is x.
The sum of a number and one-seventh of it can be expressed as x + (1/7)x, which is equal to 88.
Now, we can simplify this equation:
x + (1/7)x = 88
To combine the terms with the same variable, we can multiply the second term by a common denominator of 7:
(7/7)x + (1/7)x = 88
Now, we can add the terms with the same variable:
(8/7)x = 88
To isolate x, we need to divide both sides of the equation by (8/7):
(8/7)x ÷ (8/7) = 88 ÷ (8/7)
Simplifying, we get:
x = 88 × (7/8)
x = 77
Therefore, the number is 77.