One number is seven less than five times another. If their sum is decreased by two, the result is twenty-seven. Find the numbers

Question

find the smallest number and the largest number

Answer 1

Taking the information as given and letting x = one number and y = the other number, then

x = 5y -7 and x + y -2 = 27 or rearranging

x -5y = -7

x + y =29 Solving for y we have 6y = 36 or y = 6

Then x = 29 - y = 29 - 6 =23 So x = 23