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Of three positive numbers, the ratio of first and second is 5 : 6, that of second and third is 6 : 7 and the product of first and third is 14000. What is the sum ofthe three numbers?

Of three positive numbers, the ratio of first and second is 5 : 6, that of second and third is 6 : 7 and the product of first and third is 14000. What is the sum ofthe three numbers? Correct Answer 360

Ratio of 1st and 2nd number = 5 ∶ 6

Ratio of 2nd and 3rd number = 6 ∶ 7

∴ Ratio of three numbers = 5 ∶ 6 ∶ 7

Let, the 1st number = 5x

The 2nd number = 6x

The 3rd number = 7x

According to problem,

⇒ 5x × 7x = 14000

⇒ 35x2 = 14000

⇒ x2 = 400

⇒ x = 20

∴ Sum of three numbers,

⇒ 5 × 20 + 6 × 20 + 7 × 20

⇒ 360

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