Boris chooses three different numbers.
The sum of the three numbers is 36.
One of the numbers is a cube numbers.
The other two numbers are the factors of 20.
Find the three numbers chosen by Boris.
Write the numbers in ascending order.
Answers
Answer:
4, 5, 27
Step-by-step explanation:
below 36 there are only three cubes: 1, 8 , 27
let the first no be 27 rest are the factors of 20 eg. 4,5
4+5+27=36
the no are 4, 5, 27
The three numbers chosen by Boris are 4 , 5 , 27
Solution:
Given that,
Boris chooses three different numbers
The sum of the three numbers is 36
So, sum of all three number is 36
One number is a cube
The numbers below 36 that are cube are 1, 8, 27
Consider one number as 27
Then, other two numbers are the factors of 20
Factors of 20 are 1, 2 , 4, 5, 10, 20
4 + 5 = 9
9 added to 27 gives 36
Thus, the numbers are 4 , 5 , 27
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