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 ?240270295360
Question
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 ?240270295360
Solution
Let's denote the smaller number as x and the larger number as y.
From the problem, we know that:
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y - x = 1365 (because the difference of two numbers is 1365)
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When y is divided by x, we get a quotient of 6 and a remainder of 15. This can be written as: y = 6x + 15
Now we can substitute y from the second equation into the first equation:
6x + 15 - x = 1365 5x + 15 = 1365 5x = 1365 - 15 5x = 1350 x = 1350 / 5 x = 270
So, the smaller number is 270.
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