Question

दो अंको की संख्या के अंको का योग 9 है इस संख्या का नौ गुना संख्या के अंको को पलटने से बनी संख्या का दो गुना है वह संख्या गयात कीजिए

Answer 1

no. is 18...........

Answer 2

Answer:

The two digit number is 18.

Step-by-step explanation:

Given that the sum of two digit number is 9 and 9 times of this number is equal to the 2 times the number formed by reversing the digits. we have to find the two digit number.

Let the two digit number is xy.

∴ sum of these two forming two digit number i.e x+y=9 → (1)

Two digit number =xy=10x+y

According to question,

9(10x+y)=2(10y+x) ⇒ 90x+9y=20y+2x

                             ⇒ 88x-11y=0 ⇒ 8x-y=0 → (2)

Solving these two equations, we get

x+y+8x-y=9 ⇒ 9x=9 ⇒ x=1

∴ x+y=9 ⇒ 1+y=9 ⇒ y=8

Hence, the two digit number formed is xy=10(1)+8=18