Question

the sum of 2 positive numbers (p and q) is 32. their difference is 12. what is the smaller number ?
a. 10
b. 12
c. 20
d. 22
explain your answer

Answer 1

Answer:

ok 3 positive integer will be 3 and four

Answer 2

Answer:

nLet the 2 numbers be x and y with x > y

⇒x+y=12→(1)←sum of 2 numbers

⇒x−y=4→(2)← difference of numbers

Adding the 2 equations, term by term on both sides, will eliminate y leaving an equation in x that we can solve.

⇒(1)+(2) gives

(x+x)+(−y+y)=(4+12)

⇒2x=16

divide both sides by 2

2x2=162

⇒x=8

Substitute this value into equation ( 1 ) and solve for y

⇒8+y=12

⇒y=12−8=4

Thus the 2 numbers are 8 and 4