Question

The sum of two numbers is 64 and their differences in 10. Find the numbers

Answer 1

Answer:

37 & 27

Step-by-step explanation:

    x + y = 64

    x - y = 10

=> 2x = 74

=> x = 37

    x + y = 64

=> 37 + y = 64

=> y = 64 - 37

=> y = 27

Answer 2

Answer:

37 and 27

Step-by-step explanation:

Lets say that the two numbers are x and y. We get the equations x + y = 64 and x - y = 10. We can then add these two equations together to get, 2x = 74. Then we divide by two on both sides and get x = 37. We then plug this value back into the second equation and get that 37 - y = 10. We can simplify this and we get that y = 27. So our two numbers are 37 and 27.