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weeeeeb [17]
3 years ago
14

The sum of two numbers is 18. One number is 2 more that for times the other. Find the numbers.

Mathematics
1 answer:
seropon [69]3 years ago
3 0
Hi there!

Let the first number be represented by X.
The second number (which is 2 more than four times the other), can be represented by 4X + 2.

We can now find the sum of this expression.
X + 4X + 2

Collect terms
5X + 2

The sum of the numbers is 18. Therefore we can set up the following equation.
5X + 2 = 18

Subtract 2.
5X = 16

Divide both sides by 5.
X = 16/5 = 3 1/5.

Therefore, the first number is 3 1/5. To find the second number we must plug in X = 3 1/5 into the expression 4X + 2

4 * (3 1/5) + 2 = 12 4/5 + 2 = 14 4/5
The two numbers are
3 \frac{1}{5}  \:  \: and \:  \: 14 \frac{4}{5}

~ Hope this helps you!
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