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USA+USSR=PEACE.what is P+E+A+C+E????
Read Solution (Total 27)
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- The letter U must represent 9; there's no other way for a four-digit number and a three-digit number to make a five-digit number.
The letters P and E must represent 1 and 0. Since USSR is 9000 and something, and USA is 900 and something, the sum must be at least 10000 (since it's five digits) but can be no larger than 10998.
Now let's look at it column-by-column:
In the ones column, we have R+A=E. We know E is zero, but you can't add two non-zero numbers to get zero... so really, R+A=10, and there's a carry into the tens column.
In the tens column, S+S+1 = C. (The +1 is the carry from the ones column). Now, if S is 5 or more, there'd be a carry into the hundreds column. If S is less than 5, then there isn't. (Remember this for the next paragraph.) Either way, we know C must be an odd number, because S+S is always even, and adding one makes it odd. Since P=1 and U=9, there are only three possibilities left for C: 3, 5, and 7.
In the hundreds column, S+U=A+10 if there's NO carry from the tens column, or S+U+1=A+10 if there IS a carry from the tens column. (There's a +10 because we know that there MUST be a carry into the thousands column, because the final result must be at least 10000). But we know U is 9. If S+9+1=A+10, then that means S and A are the same number, and that's not allowed. So if we work the logic back, we know there must be NO carry from the tens column. And that means, because of what we figured out in the last paragraph, that S must be less than 5.
So now, let's look at the possible values for C, 3, 5, and 7:
If C=3, then S=1 (and not 6, because S - 10 years agoHelpfull: Yes(22) No(3)
- usa+ussr=peace
932+9338=10270=10 - 10 years agoHelpfull: Yes(21) No(3)
- can u say how u r anaolyzing that for u =9 i cant understand can u explain in proper way i cant understand
- 10 years agoHelpfull: Yes(14) No(2)
- USA=932
USSR=9338
PEACE=10270
THEN P+E+A+C+E=1+0+2+7+0=10 - 10 years agoHelpfull: Yes(9) No(2)
- can anyone pls xplain in detail how u=9
- 10 years agoHelpfull: Yes(5) No(0)
- usa+ussr=peace
932+9338=10270
1+0+2+7+0=19 - 10 years agoHelpfull: Yes(2) No(11)
- please explain properly
- 10 years agoHelpfull: Yes(2) No(1)
- can u explain why we need to take 9 for u
- 10 years agoHelpfull: Yes(2) No(1)
- hi..,rajat..i also attend 4 dt test..
In dt i dnt undrstnd how to solve dt "6 stmts and 3set of letters optins (like CBA,BCD,BAC)bit.."
if u knw hw 2 solve dt type of question could u plz tell me??? - 10 years agoHelpfull: Yes(1) No(1)
- P+E+A+C+E=10 ans confirmed
- 10 years agoHelpfull: Yes(1) No(1)
- U S A 9 2 3
U S S R 9 2 2 7
___________ _____________
P E A C E 1 0 1 5 0
ans: 1+1+5=7
- 10 years agoHelpfull: Yes(0) No(8)
- cryptarithmetic....
p=1
E=0
A=3
C=8
E=0
TOTAL=12 - 10 years agoHelpfull: Yes(0) No(4)
- hey guyzz i cant understand this type of question plz help me to solve tis problem my email id paridhi@galaxyindia.co.in
- 10 years agoHelpfull: Yes(0) No(1)
- Can someone give me proper link of cryptarithmetic tutorial?
I don't know this concept.
I hv gone through few links but those were not helpful. - 10 years agoHelpfull: Yes(0) No(1)
- please explain in
detail - 10 years agoHelpfull: Yes(0) No(1)
- 7+5+1+3+5=19
add all 2 digits as 1 - 10 years agoHelpfull: Yes(0) No(1)
- U+S+A=9+3+2
U+S+S+R=9+3+3+8
P+E+A+C+E=1+0+2+7+0 - 10 years agoHelpfull: Yes(0) No(1)
- Hi i am not able to answer the question so how can i understand.Can anyone understand this type of questions.
- 10 years agoHelpfull: Yes(0) No(1)
- U(4) S(7) A(2)
U(4) S(7) S(7) R(3)
--------------------------------------------
P(0) E(5) A(2) C(4) E(5)
------------------------------------------
so P+E+A+C+E=0+5+2+4+5=16 - 10 years agoHelpfull: Yes(0) No(2)
- 932*9338=10270
- 10 years agoHelpfull: Yes(0) No(1)
- U S S R
U S A
-----------
P E A S E
9 3 3 8
9 3 2
-------------
1 0 2 7 0
1+0+2+7+0=10
- 10 years agoHelpfull: Yes(0) No(1)
- IF YOU WILL LOOK FOR THE POSTIONS OF THE LETTERS IN ALPHABETICAL ORDER THEN
U S A + U S S R = (21+21) IS P , (19+19) IS E , (1+19) IS A , (0+18) IS C , (19+19) IS E
P+E+A+C+E = (42+38+20+18+38) = 156 - 9 years agoHelpfull: Yes(0) No(1)
- @All: Addition of two 1-digit nos can at max give a carry of 1 to the next left column. Hence, "U" in "USSR" has to be 9 for the addition to become a 5-digit no. Just give a thought !!!
- 9 years agoHelpfull: Yes(0) No(1)
- plz gyz tell me how to solve this type of problem ..how u gyz decide the value of the alphabets
nick.ankur007@gmail.com send me the solution plz plz
- 9 years agoHelpfull: Yes(0) No(1)
- 9 4 3
94 4 7
------------
1 0 3 8 0 - 9 years agoHelpfull: Yes(0) No(2)
- P+E+A+C+E = 1+0+2+7+0= 10
- 9 years agoHelpfull: Yes(0) No(0)
- u=9 s=3 a=2 r=8 e=0 c=7 p=1
peace=1+0+2+7+0=10
so the ans=10 - 6 years agoHelpfull: Yes(0) No(0)
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