Question

Five times a number when divided by 3, the quotient is 11 and remainder 2.
What is that number?​

Answer 1

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Answer 2

The number is 7

Explanation:

Division algorithm :

$a=bp+q$

, where q= dividend

b= Quotient

p= Divisor

q = Remainder

Given statement : Five times a number when divided by 3, the quotient is 11 and remainder 2.

Let n be the number,

As per given

dividend = 5n

divisor = 3

quotient = 11

Remainder =2

Then by division algorithm

$5n=(11)(3)+2=33+2\\\\\Rightarrow\ 5n= 35\\\\\Rightarrow\ n=7\ \ [\text{Divide both sides by 5}]$

Hence, the number is 7.

# Learn more:

Find a whole number n such that n÷n=n.

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