One number is 8 less than a second number. Twice the second number is 52 more than 5 times the first. Find the smaller of the two numbers.

Question

Mathematics

Melany Gamble

3 December, 04:08

One number is 8 less than a second number. Twice the second number is 52 more than 5 times the first. Find the smaller of the two numbers.

+4

Answers (2)

Know the Answer?

Lyric Waller · Answer 1

I will try my best ...

Let x and y be the two numbers.

x = y - 4

2y = 5x - 10

Now, we solve the system of equations:

2y = 5 (y - 4) - 10

2y = 5y - 20 - 10

-3y = - 30

So ...

y = 10

x = 10 - 4 = 6

Brett Yates · Answer 2

Let x and y be the two numbers.

x = y - 4

2y = 5x - 10

solve the system of equations:

2y = 5 (y - 4) - 10

2y = 5y - 20 - 10

-3y = - 30

y = 10

x = 10 - 4 = 6