Question

the larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers

Answer 1

For a visual, say the numbers are x and y.

x = 12 + y

if the sum is 74,

x + y = 74

to solve for y,

y = 74 - x

now, plug this into the first equation and solve.

x = 12 + (74 - x)

x = 86 - a

2x = 86

x = 43.

plug the solution of x into x + y = 74 and solve

43 + y = 74

y = 31.

so, your two numbers are 43 and 31. :)