The sum of two numbers is 124. Two times the greater exceeds three times the smaller by 84. Find the numbers.

Question

The sum of two numbers is 124.  Two times the greater exceeds three times the smaller by 84.  Find the numbers.

anonymous · Answer

can anybody help with this problem

niel · Answer

124=2n+.... hold on

myininaya · Answer

x+y=124
assume x is the greater number
2x=3y+84

myininaya · Answer

you have 2 equations
you should be able to find x and y

niel · Answer

well nvm its pretty simple from there... just plug in 0 for x and then do the math to find y and do the same for y to find x

myininaya · Answer

x+y=124 means y=124-x
so  we can put the second equation in terms of x
2x=3(124-x)+84
2x=372-3x+84
2x+3x=456
5x=456
x=456/5
so 
y=124-x=124-456/5=164/5

niel · Answer

myininaya did an awesome job at getting that out fast... i had to try and remember the concept

anonymous · Answer

thank you myininaya and Niel