Question

The sum of two numbers is 32. Their difference is 30. What are the two numbers? Show all work

Answer 1

Answer:

a=30 , b = 0

Step-by-step explanation:

let the two numbers be represented as a and b

a + b = 30... eqn 1

a - b = 30 ...... eqn 2

we then add the two equations to get values for a and b

a + b + a - b = 30 + 30

a + b + a -b = 60

2a = 60  ( diivide both sides by 2)

a = 30

we then put value for a = 30 into  any of the equations to get b

a + b = 30,    30 + b= 30

b = 30 -30   , b = 0

to confirm if the answers are correct, we insert the values for a and b in the two equations.

a + b = 30..... eqn 1,      30 + 0 = 30

a - b = 30 ...... eqn 2   ,    30 - 0  = 30