Question

50 and 67 should be divisible by which number so that the remainder are 5 and 7 respectively options -15,3,10,5​

Answer 1

Answer:

3

Step-by-step explanation:

50 +5

67+7

hcf 1 so answer is 3

hope it helps

Answer 2

Answer:

15

Explanation:

Let the number be x

Since the numbers 50 and 67 when divided by x leaves a remainder of 5 and 7 respectively

So,

(50 - 5) = 45 {divisible by x}

(67 - 7) = 60 {divisible by x}

Now, taking their HCF

(You can solve using prime factorisation method or Euclid's division algorithm)

By prime factorisation method:

45 = 3 × 3 × 5

60 = 2 × 2 × 3 × 5

HCF( 45, 60 ) = 3 × 5 = 15

Therefore, the number is 15