Question
Six years ago, the age of 'R' compared to the age of 'M'
six years from now was in the ratio 4:7. If the current average age of 'R' and 'M' is 33 years, what is the difference in their current ages?Solution
ATQ, Let the present age of 'R' and 'M' be βpβ years and βqβ years, respectively So, (p β 6)/(q + 6) = 4/7 Or, 7p β 42 = 4q + 24 Or, 7p β 4q = 66 ------------------ (1) Also, p + q = 2 Γ 33 = 66--------------- (2) Equation (2) Γ 4 + Equation (1), we get 11p = 330 Or, p = 30 So, q = 66 β 30 = 36 Required difference = 36 β 30 = 6 years
In each of the following number series, one term is missing. Find the missing term.
1, 4, 9, 16, 25, ?
7 29 61 ? 211 349
...55, 71, 119, 199, 311, ?
50, 64, 80, 98, 118, ?
625, 125, 375, 75, 225, 45, ?
What will come in place of the question mark (?) in the following series?
6, 9, 18, 45, 135, ?
300, 150, 150, ?, 450, 1125
23, 27, 39, 59, ?,Β 123
16, 32, 68, 132, ?, 376
32, 42, 62, 92, ?, 182