Two numbers are in ratio 4:7. If the HCF is 26, then the sum of these two numbers will be:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 286
Given that the HCF of two numbers = 26
Let the two numbers = 4x and 7x
LCM × HCF = product of two numbers
⇒ LCM = 28x2/26 = 14x2/13
LCM of 7x and 4x = 28x
so, 28x2/26 = 28x
⇒ x = 26
so the two numbers = 26 × 4 = 104 and 26 × 7 = 182
sum of the numbers = 104 + 182 = 286