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lozanna [386]
2 years ago
14

In the cryptarithm sum shown, different letters represent different digits, and no leading digit can equal 0. What is the GREATE

ST possible numeric value represented by FAST?
RUN
+
RUN
______
FAST
Mathematics
1 answer:
Travka [436]2 years ago
8 0

Answer:

  1872

Step-by-step explanation:

Solving cryptarithm sums requires consideration of the properties of numbers, addition facts in particular.

The largest possible value of F is 1. For that value, there are no choices for RUN that allow A to be 9, so its maximum value is 8. In order for A to be 8, R must be 9, so the largest digit available for S is 7, which requires U = 3. In order for S to be odd, N must be 5 or greater. The largest available digit is 6.

This gives RUN = 936; FAST = 1872.

_____

<em>Additional comment</em>

This is confirmed (suggested) by an exhaustive search. The <em>least</em> possible sum is RUN = 523; FAST = 1046.

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