SOLUTION: Of larger of two numbers is divided by the smaller, the quotient & remainder are 2 each. if 5 times the smaller number is divided by the larger number, the quotient & remainder are
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Question 257661: Of larger of two numbers is divided by the smaller, the quotient & remainder are 2 each. if 5 times the smaller number is divided by the larger number, the quotient & remainder are still 2 each. Find the two numbers Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Let x = the larger number
Let y = the smaller
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Write an equation for each statement:
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If larger of two numbers is divided by the smaller, the quotient & remainder are 2 each.
x - 2y = 2
x = 2y + 2 (x equals the quotient(2) times the divisor(y) plus the remainder)
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if 5 times the smaller number is divided by the larger number, the quotient & remainder are still 2 each.
5y - 2x = 2
5y = 2x + 2
Replace x with (2y+2) in the above equation
5y = 2(2y+2) + 2
5y = 4y + 4 + 2
5y - 4y = 6
y = 6
then
x = 2(6) 2
x = 14
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14 and 6 are the two numbers
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Check solution in the equation 5y - 2x = 2
5(6) - 2(14) = 2
30 - 28 = 2
