The sum of two numbers is 64. Twice the smaller number is 10 less than the larger number. What are the numbers?

x = first number

64 - x = second number {sum of two numbers is 64}

2x = 64 - x - 10 {twice smaller is ten less than larger}

2x = 54 - x {combine like terms}

3x = 54

x = 18

64 - x = 46 {substituted 18 for x}

the two numbers are 18 and 46

I that the two numbers are 18 and 24