In find the HCF of two numbers of division method, the quotients are 1, 8 and 2 respectively, and the last divisor is 105. What is the sum of the numbers?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 3780
| Understanding | Application |
| Tricks |
1st number = A × 1 + B A = B × 8 + C B = C × 2 + 0 |
| Now |
Given 105 is the last divisor So C = 105 B = 105 × 2 = 210 A = 210 × 8 + 105 = 1680 + 105 = 1785 means = 1785 = 2nd number So 1st number = 1785 × 1 + 210 = 1995 |
| Hence |
sum = 1995 + 1785 = 3780 |