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LCM of Polynomials

Solve : 2p/3...

Question

Solve :
$2 p / 3 - p / 5 = 35$ .

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Solution

It is given that
$2 p / 3 - p / 5 = 35$
Taking LCM
$(10 p - 3 p) / 15 = 35$
$7 p / 15 = 35$
By cross multiplication
$7 p = 35 \times 15 = 525$
So we get
$p = 525 / 7 = 75$ .

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Q. Solve the following equations:

\frac{2 p}{3} - \frac{p}{5} = 11 \frac{2}{3}

\frac{2 \sqrt{7} + 3 \sqrt{5}}{\sqrt{7} + \sqrt{5}} = P \sqrt{35} + Q

, then what is the value of

2 P + Q

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