I am less than 6 feet tall but more than 2 feet tall. my height in inches is a multiple of 7 and is also 2 inches more than a multiple of 6. what is my height in inches

  56

Step-by-step explanation:

The difference between 6 and 7 is 1, so the difference between 2×6 = 12 and 2×7 = 14 will be 2×1 = 2.

The solutions to

  6a +2 = 7b

for integers a and b will be of the form ...

  a = 7n +2

  b = 6n +2

Which makes ...

  7b = 7(6n +2) = 42n +14

The value of n that gives a value of 7b in the range of 24 to 72 is n = 1.

For that value, the height in inches is ...

  42×1 +14 = 56 . . . . inches

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Check

56 = 7×8, a multiple of 8

56 = 54 +2 = 6×9 +2. This is 2 more than a multiple of 6

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

this answer is !