Question

the larger of two numbers is 1 less than 3 times the smaller number. if twice the smaller number is increased by the larger number, the result is 18 more than the larger number. find both numbers.bro im so sleep deprived and this is due tmr HELP

Answer 1

Explanation:

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

All you need to do is convert the English statements to mathematical statements.

y = 3x – 1 /the larger of two numbers is 1 less than 3 times the smaller number/

2x + y = 18 + y /if twice the smaller number is increased by the larger number, the result is 18 more than the larger number/

Solve the second equation.

2x + y = 18 + y

2x = 18

x = 9

Then substitute the value of x in the first equation.

y = 3x – 1 = 3(9) – 1 = 27 – 1 = 26