# math

Replace each letter with a number to make the problem correct. Identicle letters are placed with identicle numbers. PARTS x 4 = STRAP

1. 👍 2
2. 👎 0
3. 👁 307
1. PARTS = 21978

I got it the hard way, by trial and error, after realizing that P had to be 2 and S had to be 8.

This kind of problem is not algebra; it is a riddle. There is no guarantee that there would be only one solution. It just turns out that way.

1. 👍 1
2. 👎 0
posted by drwls
2. PARTS x 4 = 87912

In looking at the numbers that I tried, without using the same number twice, only those with P = 2, A = 1, S = 8 and T = 7 would start out with 8 and end with 12 when multiplied by 4. That left only a few R numbers to try.

1. 👍 0
2. 👎 0
posted by drwls
3. WIth different letters but the same result:

ABCDE x 4 = EDCBA

Lets take it one number at a time.
1--A must be either 1 or 2 or the answer would be a 7 digit number.
2--If A = 1, the 4 x E has to end with 1 which cannot be, so A = 2.
3--If A = 2, then E can only be 3 or 8 for the product to end in 2.
4--But since 4 x E = E, E must be 8 to satisfy both conditions.
5--4 x B can have no carryover to 4 x 2 so B must be 1 as A is already 2.
6--4 x D + the 3 carryover must equal 11, 21, or 31 since B = 1.
7--So D can only be 2 or 7 but since A = 2, D must be 7.
8--4 x 1 must have a carryover of 3 to become 7 so C must be 7, 8 or 9.
9--Since D = 7 and E = 8, C must be 9.
10--Therefore, the numbers are 21978 x 4 = 87912.

1. 👍 1
2. 👎 0
posted by tchrwill
4. 5--4 x B can have no carryover to 4 x 2 so B must be 1 as A is already 2.

why can't B be 0 at step 5? At this point, B can be 0,1,2, and you can eliminate 2 per your reason, but you can't eliminate 0 yet--which makes the rest of your steps invalid.

1. 👍 0
2. 👎 0
posted by question
5. 4A72
B85C
92D6
E 7775

1. 👍 0
2. 👎 0
6. thanks you are a big help

1. 👍 0
2. 👎 0
posted by marcus

## Similar Questions

1. ### ....

p w s a f m i x copy the letters above on a piece of paper. cross out the second and last letters. replace all vowels with letters. double the second letter which letter sequence remains on your page? a. ssfmoi b.cffmmc c.sffmoc

asked by mary on March 11, 2013
2. ### English

p w s a f m l x copy the letter string above on a piece of paper. cross out the second and last letters. replace all vowels with the letter C. Insert an O before the second C. cross out the first and third letters. Double the

asked by mary on March 12, 2013
3. ### Algebra

This is a two part question, make sure you answer both parts: In the following subtraction problem the letters A, B and C stand for three different digits ( There are not any other operations involved in this problem). What digits

asked by Joe on October 22, 2017
4. ### Listening

I need to find the answer to this riddle. I followed the directions but didn't come up with anything I see that makes sense. Can anyone help please? Thanks! What word is spelled after following these directions? 1. Write the words

asked by Britney on June 27, 2010
5. ### English

pwsafmix copy the letter string above on a piece of paper. cross out the second and last letters. Replace all vowels with letter C. insert an O before the second C. cross out the first and third letters. double the second letter.

asked by mary on March 5, 2013
6. ### MATH

EACH LETTER IN EACH ADDITION PROBLEM STANDS FOR A NUMBER BETWEEN 0 AND 9.NO TWO LETTERS STAND FOR THE SAME NUMBER IN EACH QUESTION. FIND THE VALUE FOR EACH LETTER.FOR EACH PROBLEM, USE THE NUMBERS IN THE BOX NEXT TO THE PROBLEM. T

asked by ALEX on June 1, 2016
7. ### Math

Each letter in the subtraction problem below represents a different digit from 0 through 9. The digits 3 and 5 do not appear in the problem. Replace each letter so that the answer to the subtraction problem is correct. GRAPE -

asked by Nathan on March 29, 2007
8. ### Number Theory

Yan was opening a new restaurant, so she went to the sign store to get letters to make a sign to hang above the storefront. When she got to the sign store, the only letters they had in stock were two copies of the letter 'X,' two

asked by Lily on April 1, 2013
9. ### Data Management

For PLANETS, find the number of : 4-letter words which must include a L and A For MAMMALS, find the munber of: a) 7-letter words b) 7-letter word beggining with MA c) 4-letter words i) all letters different ii) 2 letters same,2

asked by Lisa on January 18, 2008
10. ### Combinations

Anna was opening a new restaurant, so she went to the sign store to get letters to make a sign to hang above the storefront. When she got to the sign store, the only letters they had in stock were two copies of the letter 'X,' two

asked by Anna on April 1, 2013

More Similar Questions