Question

4. The sum of first & second numbers is greater than the third number by 5. The sum of first &
third numbers is more than the second number by 7. The sum of second & third numbers
is greater than the first number by 2. Find such three numbers​

Answer 1

Answer:

The numbers are 6,3.5,4.5

Step-by-step explanation:

Let the three no.s be x,y,z

x+y=z+5 ---->1

x+z=y+7 ---->2

y+z=x+2 ---->3

Adding 1,2,3

2x+2y+2z = x+y+z+5+7+2

Therefore

2x+2y+2z-x-y-z = 14

x+y+z = 14 ---->4

Substituting 1 in 4

z+5+z = 14

2z = 9

z=4.5

Substituting 2 in 4

y+7+7 = 14

2y = 7

y = 3.5

y+z=x+2

3.5+4.5 = x+2

8 = x+2

x = 6