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Class 10 Mathematics Real Numbers Euclid’s Division LemmaExpertLevel 2

If (a=23q+18) and (b=23p+20), what is the remainder when (a+b) is divided by 23?

Answer and explanation

Correct answer: 15

Step 1: The two remainders are 18 and 20. Step 2: The sum remainder comes from (18+20=38). Step 3: Since (38=23+15), the final remainder is 15.

Tags

euclids-division-lemmasum-remainderexpert

Frequently asked questions

What is the correct answer to this question?

15

Why is this the correct answer?

Step 1: The two remainders are 18 and 20. Step 2: The sum remainder comes from (18+20=38). Step 3: Since (38=23+15), the final remainder is 15.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Euclid’s Division Lemma.

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