Cryptarithms

Number Theory Level 4

A cryptarithm is an arithmetical puzzle in which each digit of an arithmetical operation is assigned a definite letter as in a code.

Solve this cryptarithm

$\text{ JUNE +JULY =APRIL }$

Here each letter stands for a different digit.You have to find all the digits

How to answer:You have to add all the digits of your answer

The answer is 45.

4 solutions

Niranjan Khanderia
Apr 25, 2014

Since there are 10 distinct letters for ten distinct digits, what ever correspondences are
their sum, (1,2,3,4,5,6,7,8,9,0) is 45. Should it not be level 2 !!

value of individual letter ?

Sunil Pradhan - 7 years ago

J=8, U=4, N=3, E=2, L=7, Y=5, A=1, P=6, R=9, and I=0 is what I found.

tytan le nguyen - 6 years, 5 months ago

Please tell me how you got values for letters.

Rajarsh Bais - 6 years, 1 month ago

How to answer:You have to add all the digits of your answer. This statement is ambiguous as i was thinking that i have to sum digits of april

Rajarsh Bais - 6 years, 1 month ago

Tytan Le Nguyen
Dec 23, 2014

There are ten letters for ten digits, so it's the sum of all those digits starting from 0 and ending at 9. Also, I feel that those problem is worded very poorly.

Rmflute Shrivastav
Apr 25, 2015

Just solve this by writing out all the letters and seeing that there are ten of them. Since they are distinct, we can see that it is actually pretty simple and we can just add the numbers from 0-9. That is just 9*10 but divided by 2. Or, just 45!

Arpit MIshra
Apr 20, 2015

I think you can solve this answer even without solving the cryptarithrm. :/ Just Add all digits from 0-9 9(10)/2 = 45

Cryptarithms

The answer is 45.

4 solutions

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