Discussion
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?
Answer: B
Let the larger number be L and the smaller number be S.
Given: L - S = 1365 (Eq. 1)
From the division algorithm, L = 6S + 15 (Eq. 2)
Substitute L from Eq. 2 into Eq. 1:
(6S + 15) - S = 1365
5S + 15 = 1365
5S = 1350
S = \(1350 \div 5 = 270\).
The smaller number is 270.
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