Question 1025283: The sum of two numbers is 9. Five times the smaller is 9 more than three times the larger. Find the integers. Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Hi there,
The sum of two numbers is 9.
x + y = 9........(1)
Five times the smaller is
9 more than three times the larger.
5x = 9 + 3y
x = (9 + 3y)/5....(2)
Substitute (9 + 3y)/5
for x in Eq(1)
x + y = 9........(1)
(9 + 3y)/5 + y = 9
Multiply throughout by 5
9 + 3y + 5y = 45
Collect like terms
3y + 5y = 45 - 9
8y = 36
y = 4.5.
Substitute y = 4.5 in Eq(1)
x + y = 9 .......(1)
x + 4.5 = 9
x = 9 - 4.5
x = 4.5
Both integers = 4.5
Hope this helps :-)
