Question

if 6 is placed at the right end of a 2 digit number AB the value of the three digit number thus formed is 294 more than AB
what is the origanal 2 digit number AB?

Answer 1

Answer:

the original digits were

A=3 and B=2

Answer 2

The original two digit number is 32.

Step-by-step explanation:

The two-digit number AB is given as 10A + B.

Now, when 6 is placed at the right end of the two-digit number, then the three-digit number, thus formed will be given by (100A + 10B + 6).

Now, given that, (100A + 10B + 6) - (10A + B) = 294

⇒ 90A + 9B = 288

⇒ 9(10A + B) = 288

⇒ (10A + B) = 32

Therefore, the original two digit number is 32. (Answer)