112,407 views
12 votes
12 votes
The sun of two numbers is 33. The larger number is 3 more than two times the smaller number. What are the numbers?

User AdamJonR
by
2.8k points

1 Answer

15 votes
15 votes

Given:

Sum of two numbers = 33

The larger number is 3 more than two times the smaller number.

Find the number

Sol:

Let a smaller number be "x"

So larger number is:


\begin{gathered} \text{ Smaller number = }x \\ \\ \text{ larger number = }2x+3 \end{gathered}

Sum of the two numbers is 33.

Then,


\begin{gathered} \text{ Smaller number }+\text{ Larger number = }33 \\ \\ x+2x+3=33 \end{gathered}

Solve for "x"


\begin{gathered} x+2x+3=33 \\ \\ 3x+3=33 \\ \\ 3x=33-3 \\ \\ 3x=30 \\ \\ x=(30)/(3) \\ \\ x=10 \end{gathered}

So, the smaller number is 10


\begin{gathered} \text{ larger number =}2x+3 \\ \\ =2(10)+3 \\ \\ =20+3 \\ \\ =23 \end{gathered}

The larger number is 23.


\begin{gathered} \text{ Smaller number = }10 \\ \\ \text{ Larger number =}23 \end{gathered}

User OrthodoX
by
2.8k points