Question

Verify with numbers 387 and 982 that the difference between a 3 digit number and it's reverse is always 99 times the difference between the hundreds and the ones digit​

Answer 1

Answer:

99 times the difference between the hundreds and the ones digit​

Step-by-step explanation:

Number = 387

Reverse = 783

Difference = 783 - 387  =  396

396 = 99 * 4

= 99 *  ( 7 - 3)

= times the difference between the hundreds and the ones digit​

Number = 982

Reverse = 289

Difference = 982 - 289  =  693

693 = 99 * 7

= 99 *  ( 9 - 2)

= times the difference between the hundreds and the ones digit​

Number = XYZ

Value = 100X + 10Y + Z

Reverse = ZYX

Value = 100Z + 10Y + X

Difference = 100X + 10Y + Z - 100Z + 10Y + X

= 99X - 99Z

= 99 (X - Z)

= 99 times the difference between the hundreds and the ones digit​