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

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
:
Write an equation for each statement:
:
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)
:
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
:
14 and 6 are the two numbers
:
:
Check solution in the equation 5y - 2x = 2
5(6) - 2(14) = 2
30 - 28 = 2

RELATED QUESTIONS
If the larger of two numbers is divided by a smaller , the quotient and remainder are 2... (answered by ankor@dixie-net.com)

if three times the larger of two numbers is divided by the smaller we get the quotient 6... (answered by Edwin McCravy)

if 3 times the larger of the two numbers is divided by the smaller, than the quotient is... (answered by ankor@dixie-net.com)

If the larger of 2 nos. is divided by the smaller. The quotient and the remainder are 2... (answered by edjones)

the sum of two number is 36. if the larger is divided by the smaller the quotient is 2... (answered by josgarithmetic,god2012)

If the larger of two integers, whose sum is 88, is divided by the smaller, the quotient... (answered by ankor@dixie-net.com)

Two numbers differ by 14. If the larger number is divided by the smaller, the quotient is (answered by Fombitz)

Two numbers differ by 20. If the larger number is divided by the smaller, the quotient is (answered by adamchapman)

The difference of two numbers is 4. If five times the larger is divided by 2 times the... (answered by josgarithmetic)