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One number is 9 more than another number. The sum of the numbers is 25. What is one of the numbers?A) 9B) 8C) 16D) 17

One Number Is 9 More Than Another Number The Sum Of The Numbers Is 25 What Is One Of The NumbersA 9B 8C 16D 17 class=

Sagot :

Answer

B) 8 or D) 17

Step-by-step explanation

Let's call x to one unknown number and y to the other number.

If one number is 9 more than another number, then:

[tex]y=x+9\text{ \lparen eq. 1\rparen}[/tex]

Given that the sum of the numbers is 25, then:

[tex]x+y=25\text{ \lparen eq. 2\rparen}[/tex]

Substituting equation 1 into equation 2 and solving for x:

[tex]\begin{gathered} x+x+9=25 \\ 2x+9=25 \\ 2x+9-9=25-9 \\ 2x=16 \\ \frac{2x}{2}=\frac{16}{2} \\ x=8 \end{gathered}[/tex]

Substituting x = 8 into the first equation:

[tex]\begin{gathered} y=8+9 \\ y=17 \end{gathered}[/tex]

Then, one of the numbers is 8 and the other one is 17

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