Question

The sum of 2 numbers is 75. the second number is 3 less than twice the first. find the numbers

Answer 1

Let one of the numbers be x

Using the statement: The second number is 3 less than twice the first

Then the second number is

`2x-3`

Since, the sum of 2 numbers is 75

It follows:

`x+2x-3=75`

Solve for x

`\begin{gathered} 3x=75+3 \\ 3x=78 \\ x=(78)/(3) \\ x=26 \end{gathered}`

Therefore the first number is 24

The second number is

`\begin{gathered} 2(26)-3 \\ =49 \end{gathered}`

therefore the numbers are 49 and 26.