Problema Solution
the sum of three numbers is 62. the largest is 5 times the smallest, while the sum of the smallest and 2 times the largest is 77. find the numbers
Answer provided by our tutors
let 'x' represent the smallest number, then '5x' represents the largest and we let 'n' represent the third number
we have these equations:
62 = x + 5x + n
77 = x + 2(5x)
we solve for the smallest
77 = x + 2(5x)
x = 7
the largest is 5*7 = 35
we solve the for the remaining number:
62 = x + 5x + n
62 = 7 + 35 + n
n=20
the numbers are 7, 20 and 35