Question

The sum of the two numbers is 16. One number is 4 less than 3 times the other. Find the numbers.4, 511, 610, 511, 5

Answer 1

Step-by-step explanation:

Let the first number be represented as

`=x`

Let the second number be represented as

`=y`

The sum of the two numbers is 16.

This can be represented below as

`x+y=16----(1)`

One number is 4 less than 3 times the other

This can be represented below as

`y=3x-4----(2)`

Step 1:

Substitute equation (2) in equation (1)

`\begin{gathered} x+y=16 \\ x+3x-4=16 \\ 4x-4=16 \\ add\text{ 4 to both sides} \\ 4x-4+4=16+4 \\ 4x=20 \\ divide\text{ both sides by 4} \\ (4x)/(4)=(20)/(4) \\ x=5 \end{gathered}`

Step 2:

Substitute x=5 in equation (1)

`\begin{gathered} x+y=16 \\ 5+y=16 \\ substract\text{ 5 from both sides} \\ 5-5+y=16-5 \\ y=11 \end{gathered}`

Hence,

The final answers are

`\Rightarrow11,5`