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 62 × 13 = 806 26 × 31 = 806 26 × 31 = 806 For which one of the calculations below is the same thing true?

Answer 1

Answer and Step-by-step explanation:

The computation is shown below:

As we assume a and b are together and c and d are together

So, the equation would be

`= ab * cd`

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

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

Now another equation i s

`= ba * cd`

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

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

Now take both equations together

So,

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

99ac = 99bd

ac = bd

Now Like here a = 2 b = 10 and c = 5 d = 1

So,

ac = bd = 10

So we can take an example like this

So, by considering the

`62 * 13 = 806`

And,

`26 * 31 = 806`

We can the same amount

So in the given question, the choices are not there so we can calculate by the above method