Question

Find x

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Answer 1

Answer:

This is the answer of your question.

Answer 2

Step-by-step explanation:

Given

Sum of the age of P and Q is 64 years.

The sum of age of P and R is 82 years.

Age of Q is half of the age of R.

To Find

Age of P

Solution

$\sf \: P + Q = 64 \: \: \: \: \: - - - - (1)$

$\sf \: P + R = 82 \: \: \: \: \: - - - - (2)$

$\sf \: Q = \dfrac{ R }{2 } \: \: \: \: \: - - - - (3)$

Now In Equation (1)

$\sf \: P + Q = 64$

$\sf \: P = 64 - Q$

Putting the Value of P in Equation (2)

$\sf \: 64 - Q + R = 82$

$\sf \: R = 82 - 64 + Q$

$\sf \: R = 18 + Q$

Putting the Value of R Equation (3).

$\sf \: Q = \dfrac{ 18 + Q }{2 }$

$\sf \: 2 Q = 18 + Q$

$\sf \: 2 Q - Q = 18$

$\sf \: Q = 18$

Putting the Value of Q in P= 64 -Q.

$\sf \: P= 64 -18$

$\sf \: P= 46$

Hence the age of P is 46 year's.