Question

write down a pair of integers whose:
1. sum is -10
2. difference is -7

Answer 1

Answer:

for above two conditions we get rational numbers -17/2 and -3/2

Step-by-step explanation:

Let the pair of integers be a and b (a>b)

now, we have

sum of the integers =-10

=>a+b=-10=>a=-10-b....(1)

and difference of the integers =-7

=>a-b=-7

=>-10-b-b=-7

=>-10-2b=-7

=>-2b=-7+10

=>-2b=3

=>b= -3/2

now (1)

=>a=-10-(-3/2)

=>a=(-20+3)/2

=>a=-17/2

the numbers are -3/2 and -17/2

Check:

1)(-17/2)+(-3/2)

=>-3/2-17/2

=>-20/2

=>-10

2)(-17/2)-(-3/2)

=>-17/2+3/2

=>-14/2

=-7