Replace A, B by suitable numerals. (6,A)-(A,B)=3,7

Question

Replace A, B by suitable numerals.

\(\begin{equation} \frac{ \begin{array}[b]{r} 6\,\,\,A\\ - \,\,\,A\,\,\,B \end{array} }{ \,\,\,\,\,3\,\,\,\,\,7 } \end{equation}\)

Answer 1

Here, in tens place,

6 – 3 = 3

Which implies that maximum value of A is 3

Ie. A ≤ 3

Now in units place,

A - B = 7

This states that borrowing is involved.

∴ in tens place,

6 – A – 1 = 3

∴ A = 2

Now in units place,

A + 10 – B = 7 …as borrowing is involved

∴ 12 – B = 7

∴ B = 5