Question

The larger of two numbers is 9 more than twice the smaller. The sum of the numbers is 3 less than five times the smaller. Find the numbers.​

Answer 1

6 & 21

Explanation:

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

We have:
x + y = 5x - 3

However, we also know the larger number is 2x + 9 (nine more than twice the smaller). So, we can plug in 2x + 9 for y:

x + (2x + 9) = 5x - 3

x + 2x + 9 = 5x - 3

3x + 9 = 5x - 3

9 = 2x - 3

12 = 2x

x = 6

Now solver for the larger:

2x + 9 = 6*2 + 9 = 12 + 9 = 21

Therefore, the numbers are 6 and 21.

I hope this helps :D