Question
If (5x - 2y) = 170 and 4x:3y = 32:9, then find the
value of (3x² + y²).Solution
Given, 4x:3y = 32:9 Or, 4x × 9 = 3y × 32 Or, 36x = 96y So, x:y = 96:36 = 8:3 So, let the values of 'x' and 'y' be '8k' and '3k', respectively. ATQ, (5x - 2y) = 170 Or, 5 × 8k - 2 × 3k = 170 Or, 40k - 6k = 170 Or, 34k = 170 So, 'k' = 5 Therefore, values of 'x' and 'y' are 40 and 15, respectively. So, (3x² + y²) = (3 × 40² + 15²) = (3 × 1600 + 225) = (4800 + 225) = 5,025 Hence, option c.
72.5% of 400 – 23.25% of 1020 = 105% of ?
(1/5)(40% of 800 – 120) = ? × 5
Determine the value of ‘x’ if x% of 500 plus {1250 ÷ x of 10} × 5 equals 130
6 × 1.8 × 0.25 × 70 = ? + 9.5
14 × 6 + 9 × 11 = (82 – 3) × ?
4/5 + 6/7 × 14/42 ÷ 24/35 = ?
600 ÷ 8 + 12 % of 250 + ? * 14 = 50 * √49
[4(1/2) + 4(1/3)] × 12 – 42 = ?2
961 × 4 ÷ 31 – 15% of 180 = ? – 73
30, 39, 66, ? , 174, 255
