Question

In a ratio of four numbers, the first number is 110% more than the third number, the second number is 90% less than the third number and the
fourth number is half of the second number. What is the ratio of the first, third and fourth number?​

Answer 1

Step-by-step explanation:

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Answer 2

The ratio of the first, third, and fourth numbers is 22 : 50 : 9.

Given:

4 numbers are in a ratio

value of the first number = 110% of the third number

value of the second number = 90% of the third number

value of the fourth number = 1/2(second number)

To Find:

the ratio of the first, third, and fourth number

Solution:

let the third number be x

then, the first number = 110% of x = 1.1x

and the second number = 0.9x

so, the fourth number will be = 1/2(0.9x) = 0.45x

so, the ratio of the first, third, and fourth numbers will be 1.1x : x : 0.45x

= 11/10 : 1 : 45/100

= 110 : 100 : 45

= 22 : 50 : 9

Thus, the ratio of the first, third, and fourth numbers is 22 : 50 : 9.

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