Question

In a three digit number, middle digit is 4. Product of the other two digits is 18. If we subtract 297 from the number, the digits get reversed. Find the number.

Answer 1

Answer:

Let the three digit number be x6y. (As middle digit is given)

Its numerical value is 100x + 60 + y.

Number formed by reversing its digits is y6x.

Its numerical value is 100y + 60 + x

⇒ x + 6 + y = 17 (given)

⇒ x + y = 11 → (i)

Also, 100x + 60 + y – 297 = 100y + 60 + x

⇒ 99x - 99y = 297

⇒ x - y = 3 → (ii)

Add equations (i) and (ii), we get

x + y = 11

x – y = 3

2x = 14 ⇒x = 7

From equation (i),

⇒ (7) + y = 11 ⇒ y = 4.

∴ The number is 764.

Step-by-step explanation:

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