Question
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: Option B
:
B
Let the smaller number be x.
⇒Larger number = x+1365
By Euclid's division lemma, the larger number can also be written as 6x+15.
⇒x+1365=6x+15
⇒5x=1350
⇒x=270
∴ The smaller number is 270 and the larger number is270+ 1365= 1635.
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:
B
Let the smaller number be x.
⇒Larger number = x+1365
By Euclid's division lemma, the larger number can also be written as 6x+15.
⇒x+1365=6x+15
⇒5x=1350
⇒x=270
∴ The smaller number is 270 and the larger number is270+ 1365= 1635.
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