Question

There are two mystery numbers the sum of eight times the first number and 10 times the second number is 24. The sum of seven times the first number and 10 times the second number is 26 what is the two numbers

Answer 1

x = the first mystery number = 2

y = the second mystery number = 0.8

Explanation:

Let

x = the first mystery number

y = the second mystery number

8*x + 10*y = 24

8x + 10y = 24

7*x + 10*y = 26

7x + 10y = 26

8x + 10y = 24 (1)

7x + 10y = 26 (2)

Subtract (1) from (2) to eliminate y

8x - 7x = 26 - 24

x = 2

Substitute x = 2 into (1)

8x + 10y = 24 (1)

8(2) + 10y = 24

16 + 10y = 24

10y = 24 - 16

10y = 8

y = 8/10

y = 0.8

x = the first mystery number = 2

y = the second mystery number = 0.8