Question

Three numbers are in the ratio 2:5:7. Their LCM is 490. Find the square root of the
largest number.​

Answer 1

Answer:

7

Explanation:

Numbers are in the ratio 2:5:7

So consider the numbers are 2x, 5x and 7x

2x = 2 * x

5x = 5 * x

7x = 7 * x

So, LCM = 2 * 5 * 7 * x = 70*x

70x=490

x = 490/70

x=7

Hence numbers are:

2x = 2 * 7 = 14

5x = 5 * 7 = 35

7x = 7 * 7 = 49

Largest number here is 49.

Square root of 49 = 7

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Answer 2

Answer:

The square root of the largest number = 7

Explanation:

The ratio of three numbers = 2:5:7

Then the numbers are 2x,5x and 7x

Given that the LCM of these numbers  = 490

LCM of 2x,5x,7x is 2×5×7×x = 70x

Then, we have 70x = 490

x = $\frac{490}{70}$= 7

Hence, the numbers are 14,35 and 49

Largest number = 49

∴The square root of the largest number = 7

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