8. If p q are the zeroes of the polynomial 2x - 7x + 3 find the value of p+g".
9. If one zero of the polynomial 3x-8x+(2k+1) is 7 times the other, find the value of k.
O. Find the values of a and b so that x*+x +8x?+ax+b is divisible by x +1.
Find the values of m and n so that the following system of linear equations have
infinite number of solutions; (2m-1)x+ 3y-5= 0; 3x+ (n-1)y-2 = 0
12.Solve for x and y: 37x +41y = 70; 41x + 37y = 86.
134n a two digit number, the units place digit is twice the tens place digit. If 27 is added
V to the number, the digits interchange their places. Find the number.
14.When 3 is added to the denominator and 2 is subtracted from the numerator a
V fraction becomes %. And when 6 is added to numerator and the denominator is
multiplied by 3, it becomes 2/3. Find the fraction.
15Father's age is three times the sum of ages of his two children. After 5 years his age
will be twice the sum of ages of two children. Find the age of father.
16A boat goes 24km upstream and 28km downstream in 6 hours. It goes 30km
upstream and 21km downstream in 6 and 7 hours. Find the speed of the boat in
still water and also speed of the stream.
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