Question

If 7 times a number is decreased by 33 the result is 15 less than 10 times number . Find the number

Answer 1

First we set up the equation:
7n-33=10n-15
And then we subtract the common factors:
10n-7n
-15+33
3n= 18
Then we divide:
18/3
n=6

Answer 2

Answer: The number is 6.

Explanation:

Let the number be x.

Given statement : "7 times a number is decreased by 33 the result is 15 less than 10 times number ."

i.e.
`7* (x)-33 = 10 * (x)-15`

`\Rigtarrow\ 7x-33=10x-15`

Add 15 on both sides and subtract 7x from both sides , we get

`18=3x`

Divide both sides by 3 , we get

`6=x`

or

`x=6`

Hence, the number is 6.