SOLUTION: I am 2 digit number divisible by 4, 6 and 7. What number am I?

Question 1183176: I am 2 digit number divisible by 4, 6 and 7. What number am I?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52818)   (Show Source): You can put this solution on YOUR website!
.

It is a two-digit number multiple of 4*3*7 = 84.             ANSWER

There is only one such two-digit number.

Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!

Since the 6 and 7 differ by 1, the smallest number divisible by both 6 and 7 is the product of the two numbers, 6*7=42.

Then all the numbers divisible by both 6 and 7 are multiples of 42.

There is only one other 2-digit number that is a multiple of 42: 84.

And 84 is divisible by 4....

ANSWER: 84

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