The second of two numbers is 5 more than twice the first their sum is 80, what are the numbers?

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Answer 1 · 2016-11-16T08:54:33

The numbers are $25 and 55$ $25 and 55$

Although there are two numbers, we can define both of them using one variable.

Let the first, smaller number be $x$ $x$ .

This is doubled, so $2 x$ $2x$ , then 5 is added to get the second number.

The second number is $2 x + 5$ $2x+5$

"The sum of the numbers is $80$ $80$ "

$x + 2 x + 5 = 80 \leftarrow$ $x + 2x +5 = 80" "larr$ solve the equation to find x.

$3 x = 80 - 5$ $3x= 80-5$

$3 x = 75$ $3x = 75$

$x = \frac{75}{3}$ $x = 75/3$

$x = 25$ $x = 25$

One number is $25$ $25$ , the other is $2 \times 25 + 5 = 55$ $2xx25+5 = 55$

$25 + 55 = 80$ $25+55 = 80$