Question

the difference between two numbers is 1365. when the larger numbers is dividwd by the smaller one,tye quotient is 6 and the remainder is 15.the smalller number is

Answer 1

let small number is x and larger number is x+365.

ATQ

$x \times 6 \: + 15 = x + 365$
6x-x= 365-15
5x= 350

x=70
$x = 70$
smaller number is 70

Answer 2

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Here is your answer
Let the smaller number is x

So the larger number is x + 1365

Quotient = 6

Remainder = 15

ATQ
$6 \times x + 15 = x + 1365 \\ 6x - x = 1365 - 15 \\ 5x = 1350 \\ x = \frac{1350}{5} \\ x = 270$
Therefore
Smaller number is 270
Larger number = 270 + 1365
= 1635

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