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 ?
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let x be the larger number and y be the smallest one. it says, x-y=1365---------(1) and also says x/y=6 leaving remainder 15.
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 easy!
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!!! hurray u got the answer. y is the smaller number=273
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 easy!
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!!! hurray u got the answer. y is the smaller number=273
Answered by
0
Answer:
y-x=1365
x/y=quotient=6
remainder=15
qr/d=
6 15/x=
y=6x+15
6x+15-x=1365
6x-x+15=1365
5x=1365-15
5x=1350
x=270
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