What could be the maximum value of Q in the following equation?
5P9 + 3R7 + 2Q8 = 1114
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Answered by
3
if P Q and R are whole nos then the question changes
but in case they are real no. the maximum value is infinite
but in case they are real no. the maximum value is infinite
Answered by
5
Answer:
I will assume that P, Q, and R are the middle digits in three three digit numbers.
In this case, start by expanding each of the numbers on the left hand side (LHS) of the equation:
(500 + 10P + 9) + (300 +10R +7) + (200 + 10Q + 8) = 1114
Collecting like terms
1024 + 10(P+Q+R) = 1114
Isolate the variables to the LHS
10(P+Q+R) = 90
P+Q+R = 9
Because you put no conditions on their values, you can maximize Q with:
P=0
Q=9
R=0
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