Question

28
A two digit number is such that the product of the digits is 12. When 9 is
added to the number, the digits interchange their places. Determine the number.
एक दो अंकों की संख्या के अंकों का गुणनफल 12 है। यदि संख्या में 9 जोड़ दिए जाएं,
तो अंकों के स्थान पलट जाते हैं। संख्या ज्ञात कीजिए।​

Answer 1

Answer:

a×b=12

ab+9=ba

3×4=12

34+9=43

the number is 34

Answer 2

Answer: 34

Step-by-step explanation:

Let the ten's digit be x and unit's digit be y.

Number = 10x + y

xy = 12

Therefore, y = 12/x… (i)

Also, 10x + y + 9 = 10y + x

Therefore, x - y = -1 ...(ii)

From (i) and (ii),

x^2 - 12 + x = 0

Therefore, x = -4 and 3.

thus the number is 34