Question

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

Answer 1

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 2

Answer:

25

Step-by-step explanation:

Let number be N

N is X more than 31 and X less than 81

N = 31 + x = 81 - x

Thus 2x = 81 - 31 =50

Thus x = 25