Question

Christine and peter earn a combined annual income of $190,500. if christine earns $30,500 per year more than peter, what are their individual annual salaries?

Answer 1

Hello,

Peter : x

Christine : x + 30 500

Sum : x + ( x + 30 500 ) = 190 500

x + x + 30 500 = 190 500

2x + 30 500 = 190 500

2x = 190 500 - 30 500 = 160 000

x = 160 000 / 2 = 80 000

Christine : 80 000 + 30 500 = 110 500

Sum : 110 500 + 80 000 = 190 500

Answer 2

We are given combined annual income of Christine and Peter =$190,500

let annual income of Christine =x

Annual income of Peter =y= 190,500 -x...........(1)

Now Christine earns $30,500 more than Peter

`x=y+30,500`...............(2)

plugging value of y from equation (1) in (2)

`x=190500-x+30500`

adding x on left side,

`x+x=190500+30500`

`2x=221000`

dividing both sides by 2

`x=221000/2`

x=110500

Annual income of Christine =x=$110,500

Annual income of Peter =y= 190,500 -x=190500-110500= $80,000