A number is divided by 4, and then the quotient is added to 17. The result is 25. How do you find the number?

Question

12390 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-12T15:17:16

the number is $32$ $32$

A quotient is the answer to a division.
In this case a number $(x)$ $(x)$ , has been divided by $4$ $4$ to give:

$\frac{x}{4}$ $x/4$

This answer is added to $17$ $17$

$17 + \frac{x}{4}$ $17 + x/4$

the result is $25$ $25$ so you can write an equation:

$17 + \frac{x}{4} = 25$ $17+x/4 = 25$

To find the value of $x$ $x$ :

$\times 4 : \to 4 \times 17 + 4 \times \frac{x}{4} = 4 \times 25$ $xx4 :rarr" "4xx17 + 4 xx x/4 = 4xx25$

$68 + x = 100$ $68+x=100$

$x = 100 - 68$ $x = 100-68$

$x = 32$ $x=32$

Test:

$32 \div 4 = 8$ $32 div 4 = 8$

$17 + 8 = 25$ $17 +8=25$