Question

A number is 11 more than three times another number. Their sum is 4. What is the larger number?Use the exact value if a decimal is involved.

Answer 1

Given:

A number is 11, more than three times another number.

Let, larger number be x, and the smaller be y.

`x=11+3y\ldots\ldots\text{.}(1)`

The sum of two numbers is 4

`x+y=4\ldots\ldots\text{.}(2)`

Solve the two equations,

`\begin{gathered} \text{Put the values of x from equation (1) in (2)} \\ x+y=4 \\ 11+3y+y=4 \\ 11+4y=4 \\ 4y=4-11 \\ 4y=-7 \\ y=-(7)/(4) \end{gathered}`

Now,

`\begin{gathered} x=11+3y \\ x=11+3(-(7)/(4)) \\ x=11-(21)/(4) \\ x=(23)/(4) \end{gathered}`

Answer: The larger number is x=23/4.