What least number must be added to 7231 so th | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) To be divisible by both $5$ and $9,$ the number must be divisible by their least common multiple $(LCM)$.Since $5$ and $9$ are coprime,their $LCM

Vedclass · Accepted Answer

$14$

Vedclass · Answer

(C) To be divisible by both $5$ and $9,$ the number must be divisible by their least common multiple $(LCM)$.Since $5$ and $9$ are coprime,their $LCM = 5 	imes 9 = 45.$Now,divide $7231$ by $45$ to find the remainder:$7231 \div 45 = 160$ with a remainder of $31.$To make the number exactly divisible by $45,$ we need to add the difference between the divisor and the remainder to the original number.Required number $= 45 - 31 = 14.$

What least number must be added to $7231$ so that the resulting number is exactly divisible by $5$ and $9$ together?

Similar Questions

$1 \frac{5}{6} + 2 \frac{3}{5} + 4 \frac{2}{3} = ?$

In a division sum,the quotient is $120$,the divisor is $456$,and the remainder is $333$. Find the dividend.

How many positive factors of $36$ are there?

$\frac{601}{49} \times \frac{399}{81} \div \frac{29}{201} = ?$

$323.232 + 32.3232 + 3.23232 = ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module