# The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

1
by anishShere

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by anishShere

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x / y= 6 =>x= 6 * y--------(2)

substitute equation 2 in equation 1, it'll become

[6*y] -y=1365 {cauz value of x=6*y} now, 6y-y=5y right?? so we'll say

5y=1365------(3) => y=1365/5 which is 273 therefore y= 273. Now the rest is

substitute y in equation 2, that is x=6*y => x=6*273 and that is x=1638

now to confirm, 1638-273=1365 and divide x/y, you will get 6!!!