Question

SECTIUN-B 4X416)
A number is a two digit number which is three more than 4 times the sum of the digits. If 18
added to the number, the digits & s opposite. Find the number
Prove that​

Answer 1

35

Step-by-step explanation:

Let the tens and the units digits of the required number be x and y, respectively.

Required number = (10x + y)

10x + y = 4(x + y) + 3

⇒10x + y = 4x + 4y + 3

⇒ 6x – 3y = 3

⇒ 2x –y = 1 ……….(i)

Again, we have:

10x + y + 18 = 10y + x

⇒9x – 9y = -18

⇒x – y = -2 ……..(ii)

On subtracting (ii) from (i), we get:

x = 3

On substituting x = 3 in (i) we get

2 × 3 –y = 1

⇒ y = 6 – 1 = 5

Required number = (10x + y) = 10 × 3 + 5 = 30 + 5 = 35

Hence, the required number is 35.

Answer 2

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