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If 15×27×x=180\sqrt{15×27×\text{x}}=18015×27×x​=180​, then x is equal to:
Question

If 15×27×x=180\sqrt{15×27×\text{x}}=180​, then x is equal to:

A.

70

B.

50

C.

80

D.

60

Correct option is C

Given:

15×27×x=180\sqrt{15 \times 27 \times x} = 180

Solution:

15×27×x=180\sqrt{15 \times 27 \times x} = 180

Squaring both sides,

15×27×x=(180)215 \times 27 \times x = (180)^2​​

405x = 32400

x =32400405=80 \frac{32400}{405} = 80

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