Problema Solution
One-third of a certain number added to 1/5 of the next consecutive number is 5. What is the sum of the two numbers?
Answer provided by our tutors
let x be the number then the consecutive number is x + 1
(1/3)x + (1/5)(x + 1) = 5
by solving the equation
(1/3)x + (1/5)(x + 1) = 5
we find
x = 9
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we need to find the sum of the two numbers: x + x + 1 = 2x + 1
2x + 1 = 2*9 + 1 = 19
the sum of the two numbers is 19.