Question

divide 100 in the ratio 3:2​

Answer 1

Final Answer:

The number 100 on being divided in the ratio 3:2 yields 60 and 40 respectively.

Given:

The number is 100 and the ratio of its division is 3:2.

To Find:

The number 100 is to be divided in the ratio of 3:2.

Explanation:

The following points are essential for the problem.

• The ratio is a unitless quantity.
• Any number being divided in terms of a ratio yields the proportionate divisions or parts of the number.

Step 1 of 3

Assume that the proportionality constant is k, for the stated ratio in the problem.

So, frame the following equation.

$\frac{3}{2} =k$

Step 2 of 3

Relating the above equation and the number 100, frame and solve the following equation.

$3k+2k=100\\5k=100\\k=100\div5\\k=20$

Step 3 of 3

So, the proportionate divisions or parts of the number 100 are as follows.

• $3k=3\times 20=60$
• $2k=2\times 20=40$

Therefore, the required divisions of 100 in the said ratio are 60 and 40 respectively.

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