Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is? Options : 5:4 3:2 4:5 2:3
Question
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is?
Options : 5:4 3:2 4:5 2:3
Solution
Let's denote the third number as x.
The first number, which is 20% more than x, can be calculated as 1.2x.
The second number, which is 50% more than x, can be calculated as 1.5x.
The ratio of the two numbers is therefore 1.2x : 1.5x.
We can simplify this ratio by dividing both sides by x, which gives us 1.2 : 1.5.
Further simplifying this ratio by multiplying both sides by 10 gives us 12 : 15.
Finally, we can simplify this ratio by dividing both sides by the greatest common divisor, which is 3. This gives us the final ratio of 4 : 5.
So, the ratio of the two numbers is 4:5.
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