Question

15. The sum of two numbers is 8. The difference of the two numbers is 2.

Write a system of equations to find these two numbers and solve.

Answer 1

3 AND 5

Explanation:

LET THE TWO NUMBERS BE X AND Y

THEN

X + Y = 8 …….1

X – Y = 2 …… 2

WE SOLVE SIMULTANOUSLY

SUBTRACTNG EQATION 2 FROM 1

X – X + Y – (-Y) = 8 – 2

Y + Y = 6

2Y = 6

DIVIDING EACH TERM BY 2

2Y/2 = 6/2

Y = 3

THEN PUTTING Y = 3 IN EQUATION 1

X + 3 = 8

X = 8 – 3

X = 5