The difference of two numbers is 15. Five times the smaller is the same as 9 less than twice the larger. Find the numbers
Mathematics · Middle School · Thu Feb 04 2021
Answered on
let the larger number =x and smaller number=y
according to the question, difference of the numbers is 15
x-y=15…………(1)
Five times the smaller is the same as 9 less than twice the larger
5y=2x-9
2x-5y-9=0
2x-5y=9……………..(2)
from equation 1, x=15+y…………..(3)
put the value of x in the equation 2
2x-5y=9
2(15+y)-5y=9
30+2y-5y=9
-3y=9-30
-3y=-21
y=21/ 3
y=7 (smaller number)
put the value of y in equation 3 to get the value of x
x=15+y
x=15+7
x=22 (larger number)