Question
Nine years ago, the ratio of ages of Asha and Usha was
2:3, respectively. Seven years hence, the ratio of ages of Vimal and Usha will be 5:6, respectively. If Vimal is 4 years younger than Asha, find the age of Asha, 'a' years hence, where 'a' is the smallest two-digit even number.Solution
ATQ, Let the ages of Asha and Usha 9 years ago be 2x years and 3x years, respectively. Age of Vimal 9 years ago = 2x−4 years Age of Asha now = 2x+9 Age of Usha now = 3x+9 Seven years hence: Age of Asha = 2x+9+7=2x+16 Age of Usha = 3x+9+7=3x+16 Age of Vimal = 2x+16−4=2x+12 Given: (2x+12/3x+16) = (5/6) Solving the equation: 6×(2x+12)=5×(3x+16) 12x+72=15x+80 15x−12x=72−80 x=8 Since 10 is the smallest two-digit even number: Age of Asha, 10 years hence = 2x+9+10=2×8+9+10=35 years.
230 192 172 ? 122 100
...What will come in place of the question mark (?) in the following series?
24, 36, 16, 46, 4, ?, -12
What will come in place of the question mark (?) in the following number series?
29, 30, 33, ?, 69, 150
What will come in place of the question mark (?) in the following series?
400, 841, 1202, ?, 1716, 1885
12, 13, 27, 82, 329, ?
Which of the following number will replace the question mark (?) and complete the given number series?
4, 5, 12, 39, 160, ?
- What will come in place of the question mark (?) in the following series?
121, 115, 102, 82, 55, ? 4 9 28 99 ? 2105 12660
...135, 148, ?, 184, 207, 236
What will come in place of the question mark (?) in the following series?
16, ?, 480, 1920, 5760, 11520
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