Question

If n+2/3n+1/2n+1/7n=97 , then the value of n is

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

42 is the required value of n.

Explanation:

Given in the question that, $n + \frac{2}{3}n +\frac{1}{2}n + \frac{1}{7}n = 97$

First we find out the lcm of 2,3 and 7.

• LCM - In mathematics, the value that is equally divided by the two supplied numbers is known as the LCM of any two.

• Least Common Multiple is its full name. Another name for it is the Least Common Divisor (LCD).

• For example, 4 and 2 are the two numbers and lcm of 4 and 2 = 2 × 2 = 4.

Step 1:

From the question we have, $n + \frac{2}{3}n +\frac{1}{2}n + \frac{1}{7}n = 97$

So, the LCM of 2, 3 and 7 = 2× 3× 7 = 42

Now, $\frac{42n + 28n + 21n+6n}{42} = 97$

⇒ $\frac{97n}{42}$ = 97

⇒ $\frac{n}{42} = 1$

⇒ n = 42

Final answer:

Hence, 42 is the required value of n.

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