Question

A number x when divided by 273 leaves 21 as the remainder. The same number when divided by 13 leaves y as a remainder. Evaluate y?


0


6


8


7

Answer 1

Answer:

soery i have no idea. dear

Answer 2

Given :- A number x when divided by 273 leaves 21 as the remainder. The same number when divided by 13 leaves y as a remainder.

To Find :-

• Evaluate y ?

Solution :-

Case 1) :-

→ x ÷ 273 = Remainder 21

→ (x / 273) = Remainder 21

→ x = 273*n + 21 { where n is a natural number .}

case 2) :-

→ x ÷ 13 = Remainder y

→ (273n + 21) ÷ 13 = Remainder y

→ (273n + 21) / 13 = Remainder y

→ (273n)/13 + (21/13) = Remainder y

→ (21*13*n/13) + (21/13) = Remainder y

→ 0 remainder + (21/13) = Remainder y

→ 0 remainder + 8 remainder = Remainder y

→ 8 remainder = Remainder y .

therefore, y is equal to 8.

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