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Find the Value of the Letter in the Following and Give Reasons for the Steps Involved.1 a Multiply A= 9a - Mathematics

Find the value of the letter in the following and give reasons for the steps involved.

  1 A

  x A

------

  9 A

------

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Solution

The multiplication of A with A itself gives a number whose ones digit is A again. This happens only when A = 1, 5, or 6.

If A = 1, then the multiplication will be 11 × 1 = 11. However, here the tens digit is given as 9. Therefore, A = 1 is not possible. Similarly, if A = 5, then the multiplication will be 15 × 5 = 75. Thus, A = 5 is also not possible.

If we take A = 6, then 16 × 6 = 96. Therefore, A should be 6.

The multiplication is as follows

 1  6

x   6

------

 9  6

------

Hence, the value of A is 6.

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APPEARS IN

NCERT Class 8 Maths Textbook
Chapter 16 Playing with Numbers
Exercise 16.1 | Q 3 | Page 255
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