Question

Divide 60 in the ratio of 2:3.​

Answer 1

Answer:

24 and 36

Step-by-step explanation:

Here the given number is 60.

It needs to be divided into two numbers with a ratio 2:3.

Let the two numbers be A & B.

So A+B = 60, A:B = 2:3

Then for some positive integers x, the numbers can be expressed as 2x, 3x.

Then the total 60 can be expressed as a sum of 2x &3x.

Now, A + B = 60

        2x+ 3x = 60

⇒             5x = 60

                  x = 12

Then the two numbers are A= 2x = 2 × 12 = 24

                                               B= 3x = 3 × 12 = 36

Answer 2

Answer:

∴ The given number $60$ can be divided into a ratio of $2:3$ as $24:36$.

Step-by-step explanation:

• In context to question asked,
• We have to divide the given number in the ratio $2:3$.
• Here, the given number is $60$.
• Let, $2x$ and $3x$ be the parts of the given number.
• Now, according to given data, the equation is,

         $2x+3x=60$

            ∴ $5x=60$

             ∴ $x=\frac{60}{5}$

             ∴ $x=12$

• Now, $2x=2\times 12=24$

               $3x=3\times 12 = 36$

• ∴ The given number $60$ can be divided into a ratio of $2:3$ as $24:36$.