Question
If x:y:z = 3:4:6, and (5x + 3z) = 132, then find the
value of '3y'.Solution
Let x = '3a' So, y = 3a X (4/3) = '4a' And z = 3a X (6/3) = '6a' ATQ; 3a X 5 + 6a X 3 = 132 Or, 15a + 18a = 132 So, 33a = 132 So, a = 4 So, required value = 4 X 4a = 4 X 3 X 4 = 48
Simplify:
6x + 8y - [(12x + 6y) - (4x + 3y) + 2y] - 4xIf 9x2 + 16y2 = 24xy, then find the ratio of ‘x’ and ‘y’, respectively.
- Suppose [a + (1/16a)] = 3, then the value of [16a³ + (1/256a³)] is:
If, 6x + y = 20, and 2xy = 32, and 6x > y, then find the value of 216x³ – y³.
If x + 1/x = 2, find x⁷ + 1/x⁷.
(x – 6) 2 + (y + 2) 2 + (z – 4) 2 = 0, then find the value of 4x - 3y + z.
Three cubes of metal whose edges are 3cm, 4cm and 5cm. respectively are melted and a single cube is formed. What is the length of the edge of the newly ...
A number is increased by 20%, and the resulting number is decreased by 20%. If the initial number is ₹x, the final number is ₹2880. What is the valu...