SOLUTION: If the larger of the two numbers is divided by the smaller,the quotient and the reminder are 2 each.If 5 times the smaller number is divided by the larger,the quotient and the remi
Algebra.Com
Question 940677: If the larger of the two numbers is divided by the smaller,the quotient and the reminder are 2 each.If 5 times the smaller number is divided by the larger,the quotient and the reminder are still 2 each.Find the two numbers.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let the larger number be x.
let the smaller number be y.
you get:
larger number divided by smaller number = 2 + remainder of 2 becomes:
x/y = 2 + 2/y
5 times smaller number divided by larger number= 2 + remainder of 2 becomes:
5y/x = 2 + 2/x
solve for x in the equation of x/y = 2 + 2/y to get:
x = 2y + 2
replace x with 2y + 2 in the equation of 5y/x = 2 + 2/x to get:
5y/(2y + 2) = 2 / (2y + 2)
solve for y in this equation to get:
y = 6
replace y with 6 in the equation of x/y = 2 + 2/y to get:
x = 14
14/6 = 2 + remainder of 2.
5 * 6 = 30 / 14 = 2 + remainder of 2.
the solution is correct.
RELATED QUESTIONS
if three times the larger of two numbers is divided by the smaller we get the quotient 6... (answered by Edwin McCravy)
Of larger of two numbers is divided by the smaller, the quotient & remainder are 2 each.... (answered by ankor@dixie-net.com)
If the larger of two numbers is divided by a smaller , the quotient and remainder are 2... (answered by ankor@dixie-net.com)
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)
If the larger of two integers, whose sum is 88, is divided by the smaller, the quotient... (answered by ankor@dixie-net.com)
The difference of two numbers is 4. If five times the larger is divided by 2 times the... (answered by josgarithmetic)
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)