Question

1. The number obtained by reverting the digits is 594 less than the original number. The number
1s
1) 762
2) 258
3) 528
4) 852
20 dau Whan chould 5 men leave the work so that​

Answer 1

Hey Sabarisnehav !

Answer:

4) 852

Step-by-step explanation:

Given :

The number obtained by reverting the digits is 594 less than the original number.

Concept :

Let the Original Number be abc.

abc = 100a + 10b + c.

Hence the Reversed Number is cba.

cba = 100c + 10b + a.

Procedure :

(100c + 10b + a) = (100a + 10b + c) - 594

⇒ 100a + 10b + c - (100c + 10b + a) = 594

⇒ 100a + 10b + c - 100c - 10b - a = 594

⇒ 99a - 99c = 594

⇒ 99(a - c) = 594

⇒ a - c = 6

Hence Hundredth digit - Units digit = 6

1) 7 - 2 = 5

Incorrect

2) 2 - 8 = -6

Incorrect

3) 5 - 8 = -3

Incorrect

4) 8 - 2 = 6

Hence correct.

Hence 4) 852 is the correct answer.

Confirmation :

852 - 594 = 258

Reversing 852, we get 258.

Hence Option 4) 852 is the correct answer.

Thanks !