CRY → PTO → GRAM \text{CRY} \rightarrow \text{PTO} \rightarrow \text{GRAM}

Logic Level 4

C R Y + P T O G R A M \begin{array}{ccccc} & & & C & R &Y\\ + & & & P& T & O \\ \hline & & G & R &A & M\\ \hline \end{array}

In the cryptogram above, each letter represents a distinct single digit non-negative integer. What is the largest possible value of G R A M ‾ \overline{GRAM} ?

1563 1235 1605 1390 1604 1502 1452 None of these

Munem Shahriar by Munem Shahriar , 18, Bangladesh

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1 solution

Munem Shahriar
Oct 30, 2017

Considering G R A M ‾ = 1605 \overline{GRAM} = 1605

7 6 2 + 8 4 3 1 6 0 5 \begin{array}{ccccc} & & & 7 & 6 &2\\ + & & & 8& 4 & 3 \\ \hline & & 1 & 6 &0 & 5\\ \hline \end{array}

Considering G R A M ‾ = 1623 \overline{GRAM} = 1623

8 6 4 + 7 5 9 1 6 2 3 \begin{array}{ccccc} & & & 8 &6&4\\ + & & & 7& 5 & 9 \\ \hline & & 1 & 6 &2 & 3\\ \hline \end{array}

Since 1623 is greater than 1605, the answer is none of these \color{#3D99F6} \boxed{\text{none of these}}

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Good solution

Md Mehedi Hasan - 3 years, 7 months ago

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