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
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 = 6 b = 2 c = 1 d = 3
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
but Simply checking if a*c = b*d ( for number ab & cd)
42 * 48 = 24 * 84
Learn more:
62 × 13 = 806 26 × 31 = 806
brainly.in/question/18756406
62 × 13 = 806 26 × 31 = 806
brainly.in/question/18790771
https://brainly.in/question/18600490