Question

Number problem?

Answer 1

See below

Explanation:

"There are two numbers.."

One is `x`. The other is 7 more than twice the first, then `x` and `7+2x` are both numbers

The sum is 43, then `x+7+2x=43` is the equation to solve

Group similar terms and transposing terms `2x+x=43-7`

`3x=36`

`x=36/3=12`

One number is `12`. The other is `2·12+7=31`

Answer 2

Equation: `x+(2x+7)=43` Numbers: `12, 31`

Explanation:

Assuming that `x` is the smaller number, we know that the larger number equals `7` more than twice the smaller number. This is equivalent to saying the larger number = `2x+7`

The second thing we are told is that the sum of the two numbers is equivalent to `43`. The smaller number equals `x`, and the larger number equals `2x+7`. Therefore their sum is equal to `43` but also `x+2x+7`. So `43=x+2x+7`.
`43=3x+7`
`36=3x`
`12=x`

Since we know the larger number is `2x+7`, and `x=12`, then the larger number is equal to `2(12)+7=31`.

Therefore the two numbers in ascending order are `12` and `31`.