if p+r= 2q and (q+s)r= 2qs then qr is equal to !?
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SOLUTION
TO DETERMINE
If p + r = 2q and (q+s)r = 2qs then qr is equal to
EVALUATION
Here it is given that
p + r = 2q
⇒ p = 2q - r - - - - - - (1)
Now it is given that
(q+s)r = 2qs
⇒qr + rs = 2qs
⇒ qr = 2qs - rs
⇒ qr = ( 2q - r )s
⇒ qr = p × s [ Using Equation 1 ]
⇒ qr = ps
FINAL ANSWER
If p + r = 2q and (q+s)r = 2qs then qr = ps
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