Problema Solution
The sum of three whole numbers is 193. the smaller two are consecutive integers and the larger two are consecutive even whole numbers. Find the three whole num?
Answer provided by our tutors
the larger two consecutive even whole numbers can be written as:
2x and 2x + 2, where x is integer
and since the the smaller two are consecutive integers, the smallest number will be:
2x - 1
the sum of three whole numbers is 193:
2x - 1 + 2x + 2x + 2 = 193
by solving we find
x = 32
click here to see the step by step solution of the equation:
2x - 1 = 2*32 - 1 = 64 - 1 = 63
2x = 2*32 = 64
2x + 2 = 66
indeed: 63 + 64 + 66 = 193
the three whole numbers are 63, 64 and 65.