Question

Divided by 9, I leave a remainder of 6. Divided by 4, I leave a remainder of 1. Divided by 10, I leave a remainder of 3. Who am i?

Answer 1

Answer:

33answermark brainiest

Answer 2

Therefore the number is 33.

Divided by 9, It leaves a remainder of 6. Divided by 4, It leaves a remainder of 1 and , Divided by 10, It leaves a remainder of 3.

We have to find the number.

Let the number be x.

Divided by 9, It leaves a remainder of 6.

From Euclid lemma, a = bq + r

x = 9P + 6 , where P is quotient.

Similarly.

Now, it is divided by 4 , leaves a remainder of 1.

∴ x = 4Q + 1, where Q is quotient.

Again, It is divided by 10, leaves a remainder of 3.

∴ x = 10R + 3.

∵ x = 9P + 6 = 4Q + 1 = 10R + 3

⇒ 9P + 5 = 4Q

if we choose, P = 3, Then Q = 8

Now, x = 9 × 3 + 6 = 33

Therefore the number is 33.

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