Question
Download Solution PDFThe average height of P, Q and R is 160 cm. If the average height of P and Q is 140 cm and that of Q and R is 129 cm, then what is the height of Q?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF
The average height of P, Q, and R is 160 cm
The average height of P and Q is 140 cm
The average height of R and Q is 129 cm
Formula used:-
Average = Sum of Values/Number of Values
Calculation:-
⇒ (P + Q + R)/3 = 160
⇒ (P + Q + R) = 480
Similarly,
⇒ (P + Q)/2 = 140
⇒ (P + Q) = 280
⇒ R = (P + Q + R) - (P + Q)
⇒ R = 480 - 280 = 200
Similarly,
⇒ (Q + R)/2 = 129
⇒ Q + R = 258
⇒ Q = 258 - 200 = 58 cm
∴ The required answer is 58 cm.
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