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 ?

295

No worries! We‘ve got your back. Try BYJU‘S free classes today!

270

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

240

No worries! We‘ve got your back. Try BYJU‘S free classes today!

360

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
270

Let the smaller number be $x .$
$\Rightarrow$ Larger number = $x + 1365$
By Euclid's division lemma, the larger number can also be written as $6 x + 15.$
$\Rightarrow x + 1365 = 6 x + 15$
$\Rightarrow 5 x = 1350$
$\Rightarrow x = 270$

$∴$ The smaller number is 270 and the larger number is 270 + 1365 = 1635.

Suggest Corrections

Similar questions

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 ?

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

When we substracttwo numbers, we get 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is:

Q. If three times the larger of the two numbers is divided by the smaller one, we get