Problema Solution

The sum of two numbers is 48. The smaller number is 16 less than the larger number. What are the numbers?

Answer provided by our tutors

let


x = the larger number

y = the smaller number


the sum of two numbers is 48


x + y = 48


the smaller number is 16 less than the larger number


y = x - 16


by solving the system of equations


x + y = 48

y = x - 16


we find


x = 32


y = 16


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the smaller number is 16 while the larger number is 32.