*The sum of two numbers is 65. The sum of the first number increased by 10% and the second number increased by 20% is 74. What are the original numbers?

Question

The first number is ?  the second number is ?.

Answer 1

Let x = the first number

 

Then, 65 - x = the second number

 

So, [x+0.10x] + [(65-x) + 0.20(65-x)] = 74

 

1.1x + 65 - x + 13 - 0.2x = 74

 

-0.1x + 78 = 74

 

-0.1x = -4

 

x = 40

 

The first number is 40 and the second is 25.