Question
The average of three numbers is 66. When three more
numbers are included, the average increases by 6. Find the average of the numbers included.Solution
Sum of the 3 numbers = 66 × 3 = 198
New average = 66 + 6 = 72
Sum of 6 numbers = 72 × 6 = 432
Sum of new 3 numbers = 432 - 198 = 234
Required average = 234 ÷ 3 = 78
(m - 4) 2 + (n + 5) 2 + (p - 3) 2 = 0, then find the value of 2m + 3n - p.
- If x + 4y = 26 and 4x + y = 41, then find the value of (x - y).
What is the highest common factor of (x³ - x² - x - 15) and (x³ - 3x² - 3x + 9)?
 `sqrt(sqrt(2+sqrt(2+sqrt(2)) ... prop)`  = ?
If
= -2 then find In Δ ABC, ∠ B= 68° and ∠ C 32°. Sides AB and AC are produced to points D and E, respectively. The bisectors of ∠ DBC and ∠...
If  a 2 + b 2 + c 2 = 40 & ab + bc + ca = 12 then a + b+ c = ?
Calculate the value of the expression: {2 X (P3Â - Q3) - 30 X P X Q} if (P - Q) = 6 and (P2Â + Q2) = 80
If 5x - 13xy + 6y = 0, find x : y.
If x −y =4and xy =45,thenthevalueof x 3 −y3is:
