mienaaa1 mienaaa1

17-04-2018
Mathematics

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Of two numbers, one is 7 more than the other. Find the numbers if their sum is 21

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sofielasala sofielasala

17-04-2018

it would be 14 and 7.

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17-04-2018

Hi there! The smallest number is 7 and the largest number is 14.

Let the smallest number be represented by X.
The largest number is therefore equal to X + 7.

Now we can set up and solve an equation.
[tex]x + x + 7 = 21[/tex]

Collect terms
[tex]2x + 7 = 21[/tex]

Subtract 7 from both sides.
[tex]2x = 14[/tex]

Divide both sides by 2.
[tex]x = 14 \div 2 = 7[/tex]

Hence, the smallest number is 7 and the largest number is 7 + 7 = 14.

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