If the ratio of two number is 3:4 and lcm of the number is 180 then what is one of the numbers

The ratio between two numbers is 3: 4. If their L.C.M., is 180. Find the numbers.

Let the required numbers be 3x and 4x.The L.C.M., of 3x and 4x = 12xThen 12x = 180⇒ x = 15HEnce, the required numbers are3x = 3 x 15 = 45

4x = 4 x 15 = 60.

Concept: Concept of Ratio

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Two numbers are in the ratio $$3:4$$. If their LCM is $$180$$, find the numbers. Let the two numbers be $$3x$$ and $$4x$$ and HCF be $$x$$

We know that

Product of two number=Product of their LCM and HCF

So,

$$4x\times3x=180\times x$$

$$12x^2=180x$$

$$12x=180$$

$$x=15$$

$$3x=3\times15=45$$

$$4x=4\times15=60$$

Therefore the numbers are $$45$$ and $$60$$.

The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7+C (C > -7) is a constant, then the minimum value of the fraction is