Start learning 50% faster. Sign in now
a2 + b2 + c2 = 2(4a -5b -9c)-122 So a2 + b2 + c2 -2×4a +2 ×5b + 2×9c +122 = 0 a2 -2×4a +16 + b2 +2 ×5b+25 +c2 +2×9c+81 = 0 So (a-4)2 +(b+5)2+(c+9)2 = 0 As we know that if x2 + y2 +z2 = 0 then x=y=z = 0 So here a-4 = 0 so a =4; b +5 = 0 so b = -5 And c+9 =0 so c = -9 So now a-b-c = 4-(-5)-(-9) = 4+5+9 = 18
Rs.10800 was divided among A, B and C in the ratio 2:3:4. B kept Rs.1200 for himself, gave Rs.800 to his mother and divided the remaining money among hi...
The total number of students in a school is 21980. If the ratio of boys to the girls in the school is 70:87 respectively, then find the total number of ...
Three numbers are in ratio 6:7:9. If the sum of the squares of those three numbers is 664 then find the sum of the three numbers.
The ratio of heartbreak to emotions is 2:3:4:5 The price of heart is inversely proportional to the square of emotions. If there is a loss of Rs 1420 due...
Rs 11,550 has to be divided between X, Y & Z such that X gets 4/5 of what Y gets and Y gets 2/3 of what Z gets. How much more does Z get over X (in Rs)?
If 'a' is the mean proportion of 12.8 and 0.8 and 'b' is the third proportional to 1.2 and 4.8, then find (a + b) :(b - a) .
The total number of students in a school is 18644. If the ratio of boys to the girls in the school is 73:85 respectively, then find the total number of ...
There are three numbers: A, B, and C. It is given that 45% of A, (3/5) of B, and 1.5 times C are all equal. What is the ratio of A, B, and C?
A sum of Rs.10600 is to be divided among 6 brothers, 5 sisters and 3 aunts. If each sister receives four times as much as each aunt and each brother rec...
Three positive numbers are in the ratio 2:3:4. The sum of their squares is 2349. What is the average of the largest and the second largest number?