A) 32 |
B) 27 |
C) 35 |
D) Couldn't be determined |
C) 35 |
Let the unit's digit be y and ten's digit, be x.
Then, the number = 10x + y
When interchang in the number is 10y + x.
According to the question,
\( \Large \left(10x + y\right) - \left(10y + x\right) = 18 \)
\( \Large 10x + y - 10y - x = 18 \)
= 9x - 9y = 18
= x - y = 2 ...(i)
and x + y = 12 ...(ii)
On adding Eqs. (i) and (ii), we get
x - y = 2
x + y = 12
2x = 14
x = 7
Therefore, x = 7 and y = 5
Product= \( \Large xy = 7 \times 5 = 35 \)