Question 10
Find the values of the letters in the following and give reasons for the steps involved.
$12 A$
$+ 6 A B - ----------- -$
$A 09 - -------- -$

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Solution

From unit place of A+B =9
there will be no carry
So A+B=9
by looking at middle term unit place of 2+A is 0 so A=8
As A=8 B=1
Tens place digit is ‘0’ and carry over 1. Now 1 + 6 + 1 = 8 =A
Hence A = 8 and B =1

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Letters for Digits

Standard VIII Mathematics

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Question 10 Find the values of the letters in the following and give reasons for the steps involved. 1 2 A + 6 A B––––––––––––– A 0 9––––––––––

From unit place of A+B =9 there will be no carry So A+B=9 by looking at middle term unit place of 2+A is 0 so A=8 As A=8 B=1 Tens place digit is ‘0’ and carry over 1. Now 1 + 6 + 1 = 8 =A Hence A = 8 and B =1

Question 10
Find the values of the letters in the following and give reasons for the steps involved.
$12 A$
$+ 6 A B - ----------- -$
$A 09 - -------- -$

From unit place of A+B =9
there will be no carry
So A+B=9
by looking at middle term unit place of 2+A is 0 so A=8
As A=8 B=1
Tens place digit is ‘0’ and carry over 1. Now 1 + 6 + 1 = 8 =A
Hence A = 8 and B =1