Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is? Options :5:43:24:52:3
Question
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is? Options :5:43:24:52:3
Solution
Let's assume the third number is x.
The first number which is 20% more than the third number would be 1.2x. The second number which is 50% more than the third number would be 1.5x.
The ratio of the two numbers would be 1.2x : 1.5x.
To simplify this ratio, we can divide both sides by the common term 'x', which gives us 1.2 : 1.5.
Further simplifying this ratio by multiplying by 10 to remove decimal, we get 12 : 15.
This ratio can be simplified further by dividing both sides by the greatest common divisor, which is 3. So, the ratio becomes 4 : 5.
So, the ratio of the two numbers is 4:5.
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