SOLUTION: Find two numbers such that, if 18 is added to the first number, it becomes twice the second number. And if 16 is added to the second number, it becomes three times the first number

Question 1112328: Find two numbers such that, if 18 is added to the first number, it becomes twice the second number. And if 16 is added to the second number, it becomes three times the first number
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find two numbers
a & b
such that, if 18 is added to the first number, it becomes twice the second number.
a + 18 = 2b
And if 16 is added to the second number, it becomes three times the first number
3a = b + 16
rearrange for substitution
b = 3a - 16
replace (3a-16) for b in the 1st equation
a + 18 = 2(3a - 16)
a + 18 = 6a - 32
18 + 32 = 6a - a
50 = 5a
a = 10
:
b = 3(10) - 16
b = 14
:
:
Check in the 1st equation
10 + 18 = 2(14)

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