Question

a number when divided by 72, leaves a remainder 64. Find the remainder when the same number is divided by 18​

Answer 1

Question :

a number when divided by 72, leaves a remainder 64. Find the remainder when the same number is divided by 18

Answer :

The remainder when the same number is divided by 18 = 256

Given :

A number when divided by 72, leaves a remainder 64

To find :

Find the remainder when the same number is divided by 18​

Solution :

• The number when divided by 72, leaves a remainder 64

           Let the number be "x"

 => x divided by 72, leaves the remainder 64

                  $\frac{x}{72} =64 \\\\ x=64 \times 72 \\\\ x=4608$

⇒ The number is "4608"

• the remainder when the same number is divided by 18

              Let the remainder be "y"

=> 4608 divided by 18 leaves remainder "y"

             $\frac{4608}{18} =y \\\\ y=\frac{18 \times 256}{18} \\\\ \bf y=256$

∴ The remainder when the same number is divided by 18 = 256