Question

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is.

Answer 1

The Ratio of two numbers is 4:5

First number is 20%

and, Second number is 50% more than a third number.

According to the question

Consider the first , second , and third numbers to be x , y, z respectively

First number is 20%  more than a third number.

=> x = z + 20/100z

=>  x = (100z + 20z)/ 100

=> x = 120z/100

=> x = 6z/5

The second number is given as 50% more than the third number.

=> y = z + 50/100z

=> y = (100z + 50z)/100

=> y = 150z/100

=> y = 3z/2

Calculating the ratio of the first and second numbers:

The Ratio of first and second numbers is x: y

x :y = 6z/5 : 3z/2

=> x:y = 12z : 15z

=> x:y = 4:5

Therefore, the ratio of two numbers is 4:5

Learn more about numbers at:

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