Question

a number multiplied by 3 and increased by 5 is equal to the same number multiplied by 7 and decreased by 15 what is the number​

Answer 1

Let the number be x

3x + 5 = 7x - 15

20 = 4x

x = 5

Answer 2

Given,

The statement: a number multiplied by 3 and increased by 5 is equal to the same number multiplied by 7 and decreased by 15.

To find,

The number.

Solution,

We can easily solve this problem by following the givens steps.

According to the question,

We have the following statement:

A number multiplied by 3 and increased by 5 is equal to the same number multiplied by 7 and decreased by 15.

Let's take the number to be x.

Now, we will convert the statement into algebraic expression:

3x+5 = 7x-15

Moving 7x from RHS to LHS,

3x-7x+5 = -15

-4x+5 = -15

Moving 5 from LHS to RHS,

-4x = -15-5

-4x = -20

x = 20/4

x = 5

Hence, the number is 5.