SOLUTION: If 3 times the larger of the 2 numbers is divided by the smaller one, we get 4 as quotient and 3 as remainder. Also, if 7 times the smaller is divided by the larger one, we get 5 a
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-> SOLUTION: If 3 times the larger of the 2 numbers is divided by the smaller one, we get 4 as quotient and 3 as remainder. Also, if 7 times the smaller is divided by the larger one, we get 5 a
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Question 903913: If 3 times the larger of the 2 numbers is divided by the smaller one, we get 4 as quotient and 3 as remainder. Also, if 7 times the smaller is divided by the larger one, we get 5 as quotient and 1 as remainder. Find the numbers. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! let larger number be x
and smaller number be y
First condition
Dividend = divsor * quotient + remainder
3x= y*4+3
3x=4y+3
3x-4y=3
second condition
7y=5x+1
7y-5x=1
3 x -4 y = 3 .............1
-5 x + 7 y = 1 .............2
Eliminate y
multiply (1)by 7
Multiply (2) by 4
21 x -28 y = 21
-20 x + 28 y = 4
Add the two equations
1 x = 25
/ 1
x = 25
plug value of x in (1)
3 x -4 y = 3
75 -4 y = 3
-4 y = 3 -75
-4 y = -72
y = 18 1
x= 25
y= 18
m.ananth@hotmail.ca
