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Maths Division











































I have to find the missing numbers the answer is 1467.
I've got to find what number will go into a numer that
starts with 5 and ends in 8.
There's two numbers in between the 5 and 8.
Can you help please

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Jul 26, 2011
Division Puzzle
by: Staff


The question:

I have to find the missing numbers the answer is 1467.
I've got to find what number will go into a numer that
starts with 5 and ends in 8.
There's two numbers in between the 5 and 8.
Can you help please


The answer:

(5??8)/x = 1467

x*[(5??8)/x] = x*1467

(5??8)*(x/x) = x*1467

(5??8)*1= x*1467

(5??8) = x*1467


How many possibilities do the question marks represent?

Each unknown digit (represented by a question mark) can only be one or the following 10 numbers: {0,1,2,3,4,5,6,7,8,9}

How many possible combinations are there: 5008, 5018, . . ., 5998

n = 10 possible digits for each question mark

r = number of ? marks

Number of possible digit combinations = n^r

Number of possible digit combinations = 10^2 = 100

There are 100 possible combinations to choose from.

However, since (5??8) = x*1467, we know that the x must be an even number ending in 4 since the number x*7 (the last digit of 1467 is the number 7) must end in 8 (5??8 ends in 8).

Let’s try the number x = 4

4 * 1467 = 5868

That’s it!


The final answer is:

The mystery number 5??8 is the number 5868

The solution for x is x = 4

(5??8)/x = 1467

5868 ÷ 4 = 1467



Thanks for writing.

Staff
www.solving-math-problems.com



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