A number is as much greater than 31as is less than 81 find the number

1.	A number is as much greater than 31as is less than 81 find the number
Answer» Answer: $\huge\bold\star\red{Answer}\star$ Solution: Let x be the number. Since x is as much GREATER than 31 (x-31) as it is less than 81 (81-x), we have the equality/equation: x - 31 = 81 - x Transposing -x from RIGHT to left and -31 from left to right, and as every transposition involves a change of sign, x + x = 31 + 81 Or, 2x = 112 = 2 . 56 Dividing both SIDES by 2, x = 56 (Answer) Therefore , the number is 56 . Result Verification: x = 56 x - 31 = 56 - 31 = 25 81 - x = 81 - 56 = 25 Therefore, the number (x) is greater than 31 by 25 and less than 81 by an equal AMOUNT (25).

Answer»

Answer:

$\huge\bold\star\red{Answer}\star$

Solution:

Let x be the number. Since x is as much GREATER than 31 (x-31) as it is less than 81 (81-x), we have the equality/equation:

x - 31 = 81 - x

Transposing -x from RIGHT to left and -31 from left to right, and as every transposition involves a change of sign,

x + x = 31 + 81

Or, 2x = 112 = 2 . 56

Dividing both SIDES by 2,

x = 56 (Answer)

Therefore , the number is 56 .

Result Verification:

x = 56

x - 31 = 56 - 31 = 25

81 - x = 81 - 56 = 25

Therefore, the number (x) is greater than 31 by 25 and less than 81 by an equal AMOUNT (25).

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