Question

three digits number is in ap if the digits are reversed tue new number obtained is 594 less than the original number.find the three digit number​

Answer 1

Answer:

Step-by-step explanation:

Let the digit at the hundredth place of the number be (a + d).

Digit at the tens place be a.

Digit at the ones place be (a – d).

Sum of the digits = 15

(a + d) + a + (a – d) = 15

3a = 15

⇒ a = 5

The number formed by the digits

= 100 (5 + d) + 10 (5) + (5 – d)

= 555 + 99d

The number formed by reversing the digits

= 100 (5 - d) + 10 (5) + (5 + d)

= 555 – 99d

Given that the number formed by reversing the digits is 594 less

the original number.

⇒ (555 + 99d) – (555 - 99d) = 594

⇒ 198 d = 594

⇒ d = 3

(a + d) = (5 + 3) = 8,

a = 5,

(a – d) = (5 – 3) = 2.

Hence, the number formed by the digits = 100(8) + 10(5) + 1(2) = 852.