Question

Two numbers are respectively 50% and 80% more than a third number.If the secound number is 150 more then the first number ,then what the third number is

Answer 1

Answer:

The third number is 500

Step-by-step explanation:

Let a, b and c be the three numbers, respectively.

Given:

a is 50% more than c => a = 1.5c .............E1

b is 80% more than c => b = 1.8c ..............E2

b is 150 more than a => b = 150 + a .........E3

Substituting for "b" and "a" in E3, we get:

1.8c = 150 + 1.5c

=> 0.3c = 150

=> c = 150 / 0.3

=> c = 500

The third number is 500

Also:

a = 1.5*c = 1.5*500 = 750

b = 1.8*c = 1.8*500 = 900

Verify:

We are given that second number is 150 more than the first number. 900 is 150 more than 750, so verified.