wo 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
wo 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.
According to the problem, the first number is 20% more than x and the second number is 50% more than x.
So, the first number is 120% of x, which is 1.2x, and the second number is 150% of x, which is 1.5x.
The ratio of the two numbers is therefore 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.
We can further simplify this ratio by multiplying both sides by 10 to get rid of the decimal, which 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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