Question

1. The difference between two thirds of a number and half of that number is 13. find the number.
2. The sum of three-fifths of a number and two thirds of the same number is 16 more than the number itself. find the number.
3. The ration of two number is 4:9 When 6 is added to the smaller number the sum become half of the sum of the greater number and 6. find the number

Answer 1

First and second question is solved, here is your answer. now solving third.

Answer 2

1. let the no. be x.

2/3x - 1/2x = 13

4x-3x/6=13

4x-3x=13 X 6

x = 96.

2. Let the no. be x.

3/5x + 2/3x = 16 + x

9x+10x/15=16 + x

9x + 10x= 15(16 + x)

19x = 240 + 15x

19x - 15x = 240

4x = 240

x= 240/4

x = 60.