**Question**: The digits of both the two-digit numbers in the first calculation below have been reversed to give the two-digit numbers in the second calculation. The answers to the two calculations are the same. 62 × 13 = 806 26 × 31 = 806 For which one of the calculations below is the same thing true?

**Answer**: The correct answer is below

ab * cd

= (10a + b) * (10c + d)

= 100ac + 10(ad + bc) + bd

ba * cd

= (10b + a)(10d + c)

= 100bd + 10(ad + bc) + ac

Sync both

100ac + 10(ad + bc) + bd = 100bd + 10(ad + bc) + ac

=> 99ac = 99bd

=> ac = bd

It will be right for the numbers that will satisfy this

Like here a = 2 b = 6 c = 3 d = 1

ac = bd = 6

So we can take example like this

43 & 68 or 46 & 32

As options below are not given so Correct option can be find out

bu Simply checking if a*c = b*d ( for number ab & cd)

42 * 48 = 24 * 84