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Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion


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June 21st, 2012, 04:33 AM   #1
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I'm stuck on these word problems

Help with this word problem

1.) I am a 4 digit number, my thousands digit is 5 more than my hundred digit, and my ones digit
is the sum of my thousands and hundreds digit my tens digit is the difference of my thousands
and hundreds digit, what number am I?

so far I only got the tens which is 5 from my equation a = b + 5 then c = a - b but I can no longer get
to the next equation but as I can see, the hundreds can only be either 0,1 or 2

a=thousands
b=hundreds
c=tens



2.) I am 5 digit number, my ones digit is 5 less than my hundreds digit, my other digits are all twice my ones digit,
what number am I?

- i couldn't get a single number


3.) I am a 3 digit number my hundreds digit is 4 more than my ones digit and my tens digit is their difference, what number am I?

- here I got the tens digit which is 4 but could not get the hundreds and ones.
a = 4 + c
b = a - c

b = 4+c-c
b = 4

a=hundreds
b=tens
c=ones


Help
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June 21st, 2012, 08:11 AM   #2
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Re: Im stucked up with this word problem

Quote:
Originally Posted by hagtos
1.) I am a 4 digit number, my thousands digit is 5 more than my hundred digit, and my ones digit
is the sum of my thousands and hundreds digit my tens digit is the difference of my thousands
and hundreds digit, what number am I?

so far I only got the tens which is 5 from my equation a = b + 5 then c = a - b but I can no longer get
to the next equation but as I can see, the hundreds can only be either 0,1 or 2

a=thousands
b=hundreds
c=tens
Can you "see" that c = 5?

1000(a) + 100(a - 5) + 10(5) + 2a-5
= 1102a - 455
a = 5,6,7 will all be solutions
Denis is offline  
June 21st, 2012, 08:35 AM   #3
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Math Focus: Calculus/ODEs
Re: Im stucked up with this word problem

2.) I am 5 digit number, my ones digit is 5 less than my hundreds digit, my other digits are all twice my ones digit,
what number am I?

Write the number as:

10000a + 1000b + 100c + 10d + e

From the given information, we find:

e = c - 5

a,b,d = 2e

The valid values for e are {1,2,3,4} to get:

22621
44742
66863
88984

3.) I am a 3 digit number my hundreds digit is 4 more than my ones digit and my tens digit is their difference, what number am I?

Write the number as:

100a + 10b + c

From the given information, we have:

a = c + 4

b = 4

The valid values for c are {0,1,2,3,4,5} to get:

440
541
642
743
844
945
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I'm a 2 digit number that has 3 ones I have more than 4 tens but fewer than 6 tens
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i am a four digit number
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