Question

10. The sum of two whole numbers is 81. The ratio of the two numbers is 2:7. What

are the two numbers?
OD

Answer 1

answer
x=63
y=18

explanation
x+y=81
2x=7y
solve for x
x=(7/2)y
sub into first equation
(7/2)y+y=81
(9/2)y=81
y=18
sub into x equation
x=(7/2)(18)
x=63

Answer 2

18, 63

Explanation:

Ratio = 2 : 7

The numbers are 2x , 7x

2x + 7x = 81

9x = 81 {Divide both sides by 9}

9x /9 = 81/9

x = 9

2x = 2*9 = 18

7x = 7* 9 = 63

The numbers are: 18 , 63