Question

Which of the folowing numbers must be added to 5678 to give rwminder of 35 when divided by 460?

Answer 1

Answer:

337

Step-by-step explanation:

Let the number to be added be x.

Now According to the question,

⇒ 5678 + x = 460 × q + 35

The nearest multiple of 460 with 5678 is 12. Therefore Substituting q greater than 12, we get:

⇒ 5678 + x = 460 × 13 + 35

⇒ 5678 + x = 5980 + 35

⇒ 5678 + x = 6015

⇒ x = 6015 - 5678

⇒ x = 337

Hence 337 is the number to be added.

Answer 2

Answer

Let the number to be added be x.

Now, A. T. Q

⇒ 5678 + x = 460 × q + 35

The nearest multiple of 460 with 5678 is 12. Therefore Substituting q greater than 12, we get:

» 5678 + x = 460 × 13 + 35

» 5678 + x = 5980 + 35

» 5678 + x = 6015

» x = 6015 - 5678

» x = 337

Hence 337 is the number to be added.