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Two numbers have a sum of 7. When the smaller number is subtracted from twice the larger number, the result is 20. Which is the following is the larger number.
11
9
15
12
Which is it?

Sagot :

evgeniylevi

Answer:

9

Step-by-step explanation:

according to the condition it is possible to make up a system of two equations (if to suppose 'l' - the larger number and the 's' - is the smaller one):

1. 'two numbers have a sum of 7' means s+l=7;

2. 'When the smaller number is subtracted from twice the larger number, the result is 20' means 2*l-s=20.

3. the system of two equations is:

[tex]\left \{ {{s+l=7} \atop {2l-s=20}} \right. \ => \left \{ {{s=-2} \atop {l=9}} \right.[/tex]

4. the larger number is 9.

The larger number would be as follows:

[tex]9[/tex]

What are numbers?

Let the two numbers (larger and smaller) be [tex]= x ; y[/tex] respectively.

[tex]x + y = 7[/tex]

So, [tex]y = 7 - x[/tex]

Given that,

The Smaller number subtracted from twice large number gives 20. Thus,

[tex]2x - y = 20[/tex]

Putting the value of [tex]y, 2x - (7 - x) = 20[/tex]

[tex]2x - 7 + x = 20[/tex]

[tex]3x - 7 = 20[/tex]

[tex]3x = 27[/tex]

[tex]x = 27 / 3[/tex]

∵ [tex]x = 9[/tex] [The larger Number]

The smaller number [tex]'y' = 7 - 9 = -2[/tex]

To learn more about 'variables' solving,' refer here:

brainly.com/question/137440

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