Math, asked by jackeliott1, 9 months ago

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?

Answers

Answered by amitnrw
10

Given :  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  

To find :  Rule For which   calculations   is the  true

Solution:

ab  * cd

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

= 100ac  + 10(ad + bc)  +  bd

ba * cd

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

= 100bd  + 10(ad + bc)  + ac

Equating both

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

=> 99ac  =  99bd

=> ac = bd

 

It will be true for those number  which 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

Learn more:

62 × 13 = 806 26 × 31 = 806

https://brainly.in/question/18756406

62 × 13 = 806 26 × 31 = 806

https://brainly.in/question/18790771

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