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 ?
A) 270
B) 1270
C) 350
D) 720

Answer 1

Heyy mate ❤✌✌❤

Here's your Answer....

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?

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7 ANSWERS

Trevor John Streeton, former Computer Instructor (1995-2015)

Answered Feb 20, 2018 · Author has 187answers and 41.9k answer views

Simple algebra, mate.

You write that the difference is this
A - B = 1365
and the relationship is this
A = 6B + 15

Substituting
6B + 15 - B = 1365
Which means
5B + 15 = 1365
or
5B = 1350
so
B = 270
and
A = 6*270 + 15 = 1635 (hmm, a permutation of the same digits!)

Check: 1635 - 270 = 1365.
✔✔✔✔

Answer 2

⭕Let the larger number is x and smaller is y.
now x-y=1365....(1)

⭕Again dividend=divisor*quotient+remainder

therefore x=6y+15 put in ..(1)

6y+15-y=1365
or 5y=1350
or y=270

HENCE answer is (a)270