SOLUTION: The smaller of two numbers is 3 less that the larger. Twice the larger plus 4 times the smaller is 36. Find the numbers

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Question 167571: The smaller of two numbers is 3 less that the larger. Twice the larger plus 4 times the smaller is 36. Find the numbers
Answer by sowmya(32) About Me  (Show Source):
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The smaller of two numbers is 3 less that the larger. Twice the larger plus 4 times the smaller is 36. Find the numbers
solution:
Let the two numbers be x and y.
Let the smaller of the two be x
x= y-3
2y+4x = 36
Hence we haev to solve the following linear syste of equation
x-y = -3
4x+2y = 36=> 2x+y = 9
adding the two equations,
3x = 6=> x= 2
y = 5
The numbers are 2 and 5.