The difference of two numbers is 1365. On div | vedclass

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Question

(B) Let the larger number be $x$ and the smaller number be $y$.According to the problem, the difference between the two numbers is $1365$, so we have:

Vedclass · Accepted Answer

$270$

Vedclass · Answer

(B) Let the larger number be $x$ and the smaller number be $y$.According to the problem, the difference between the two numbers is $1365$, so we have:$x - y = 1365$ $...(i)$According to the division algorithm, $	ext{Dividend} = (	ext{Divisor} 	imes 	ext{Quotient}) + 	ext{Remainder}$.Here, $x = 6y + 15$ $...(ii)$Substitute the value of $x$ from equation $(ii)$ into equation $(i)$:$(6y + 15) - y = 1365$$5y + 15 = 1365$$5y = 1365 - 15$$5y = 1350$$y = 1350 / 5 = 270$Thus, the smaller number is $270$.

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

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