Question

If 6A × B = A8B, then find the value of A-B​

Answer 1

$\huge{\underline{\underline{Answer\::-}}}$

$\underline{\underline{Given\:that\::-}}$

6A × B = A8B

We are able to see two variables above which are A and B


• Now we will consider the range of A and B

Range of A and B = 0 to 9

$\underline{\underline{Elimination \: of \: range \::- }}$



•Now we also conclude that maximum by taking if we take maximum values of A and B we will not get the required number

So, 9 is eliminated

• Now from we can also conclude that numbers 4 - 8 will not give the required condition

• Also by taking value as zero we will not get the required value

Then required range = 1 to 3


Now by putting values :-

_____________________

A = 1
B = 1

we get

61 × 1 = 181 (not satisfied)

____________________

A = 1
B = 2

we get

62 × 2 = 124 (not satisfied)


____________________

A = 1
B = 3

we get

63 × 3 = 183 (satisfied )


$\underline{\underline{Checking\::-}}$

6A × B = A8B

replacing values found

61 × 3 = 183


Hence verified!!!



____________________




Hope it helps you

Answer 2

Answer:

A - B = -2

Step-by-step explanation:

Given:

6A

* B

------

A8B

-------

Here, we have two values A and B whose values are to be determined.

Here,

A * B ends with A

We put different values of A and B and checks which ends with B.

(i) when a = 0 and b = 1, then A * B = 0{B!=0}

(ii) when a = 1 and b = 0, then A * B = 0{Satifsied}

(iii) when a = 1 and b = 3, then A * B = 3{Satisfied}

So, the value of A = 1 and B = 0

For A = 1 and B = 0:

6 1

*  0

-----

60

For A = 1 and B = 3:

6 1

  3

-----

183    ------ Satisfied.

Now,

A - B = 1 - 3

        = -2.

Therefore, A - B = -2.

Hope it helps!