Question

दो अंकीय संख्या के अंकों का योगफल 12 है।यदि अंको के स्थान आपस से बदलने से प्राप्त नवीन संख्या मूल संख्या से 18 अधिक हो, तो वह संख्या ज्ञात कीजिये।

Answer 1

that is correct answers

Answer 2

Answer:

The original number is 57.

Step-by-step explanation:

Let x be the tens place digit and y be the once place digit of the number,

Thus, the original number = 10 x + y

After reversing the digit, the new number = 10 y + x

Since, the sum of the digits of the number is 12,

⇒ x + y = 12 -----(1)

Also, after reversing the digits, the number obtained is 18 greater than the original number,

⇒ ( 10 y + x ) - ( 10 x + y ) = 18,

⇒ 9 y - 9 x = 18

⇒ y - x = 2 ----- (2)

Equation (1) + Equation (1)

2 y = 14 ⇒ y = 7,

Again by equation (1),

x + 7 = 12 ⇒ x = 5,

Hence, the original number = 10 × 5 + 7 = 50 + 7 = 57