Question 131

The ratio of two numbers is 3:4 and their LCM is 120. The sum of numbers is:

Solution

Let the two numbers be $$3x$$ and $$4x$$

$$=$$> HCF of two numbers = $$x$$

Given, LCM of two numbers = 120

We know that, Product of two numbers is equal to Product of LCM and HCF of two numbers

$$=$$> $$3x\times4x=120\times x$$

$$=$$> $$x=10$$

$$\therefore\ $$Sum of the numbers = $$3x+4x=7x=7\left(10\right)=70$$

Hence, the correct answer is Option C

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