Question

hcf of two num is 67 and sum is 670 how many pairs such a number possibe

Answer 1

The two numbers must be multiples of 67.

Now we can list the multiples.

1) 67

2) 134

3)201

4)268

5)335

6)402

7)469

8)536

9)603

10)670

The possible pairs that add up to 670 are

1)603 and 67

2)536 and 134

3)469 and 201

4)402 and 268

We have 4 possible pairs.

Answer 2

Let the two number be 67a and 67b where a and b are any of the integer

As per the question.

67a + 67b = 670

67 (a + b) = 670

a + b = 670/67

a + b = 10

HCF of the term 67a and 67b is 67 = 67 * 1

The possible part are (1, 9) and (3, 7)

67 * 1 and 67 * 9 = 603

67 * 3 and 67 * 7 = 469