Question

If A1 × 1A 121, then the value of A is​

Answer 1

Answer:

A=1

Step-by-step explanation:

A1 x A1= 121

and we know that 11 x11=121

therefore A=1.

Answer 2

Given:

$A1*1A=121$

To Find:

The value of $A$.

Solution:

We are given that $A1*1A=121$.

We can express $A1$ as $10*A+1$

Also $1A$ can be expressed as $10+A$.

   $(10*A+1)*(10+A)=121$

⇒ $10A^2+101A+10=121$

⇒ $10A^2+101A-111=0$

⇒ $(A-1)(10A+111)=0$

From this, we can see that two values of $A$ are possible,

$A=1$ and $A=-\frac{111}{10}$

Since, $A$ here is a natural number we can ignore the other value and take $A=1$.

Hence, the value of $A$ which satisfies the given equation is 1.