Problems on Agesआयु संबंधी प्रश्न questions and answersप्रश्न और उत्तर

How problems on ages worksआयु संबंधी प्रश्न को समझिए

Write present ages as multiples of one unknown (for example 3x and 5x), then move forward or back in time by adding or subtracting the same number to both.

The difference between two ages stays constant, so when ratios are given at two times, compare the difference in ratio units.

Checking the options is often faster than solving: plug each option into both conditions.

Each trick says when to use it, why it works and when it fails. Formula tricks are checked by code over their whole range.हर ट्रिक बताती है कि उसे कब इस्तेमाल करें, वह क्यों काम करती है और कब नहीं। सूत्र वाली ट्रिक्स को कोड से उनकी पूरी रेंज पर जाँचा गया है।

Answers and full solutions are shown. Hide them to test yourself first.उत्तर और पूरे हल दिखाए गए हैं। पहले खुद को परखने के लिए इन्हें छिपाइए।

1. Example 1उदाहरण 1 · Problems on ages · Easyआसान

   The ages of Tenzin's father and Tenzin are in the ratio 7 : 3, and the sum of their ages is 50 years. What will be Tenzin's age after 2 years?

   1. 13 years
   2. 14 years
   3. 15 years
   4. 17 years
   Answer:उत्तर: 17 years

   1. One part = 50 ÷ (7 + 3) = 5.
   2. Tenzin is 3 × 5 = 15 years old now.
   3. After 2 years: 17 years.

2. Example 2उदाहरण 2 · Problems on ages · Mediumमध्यम

   The present ages of Saanvi's uncle and Saanvi are in the ratio 7 : 3. After 15 years the ratio will be 5 : 3. What is the present age of the uncle?

   1. 25 years
   2. 30 years
   3. 35 years
   4. 40 years
   Answer:उत्तर: 35 years

   1. Let the ages be 7k and 3k.
   2. (7k + 15) / (3k + 15) = 5/3 → 3(7k + 15) = 5(3k + 15).
   3. 6k = 30 → k = 5.
   4. Present age = 35 years.

3. Example 3उदाहरण 3 · Problems on ages · Hardकठिन

   3 years ago, the ratio of the ages of Kabir's mother and Kabir was 7 : 1. 6 years from now, the ratio will be 5 : 2. What is the present age of the mother?

   1. 19 years
   2. 22 years
   3. 24 years
   4. 30 years
   Answer:उत्तर: 24 years

   1. Let the present ages be x (mother) and y (Kabir).
   2. (x − 3) : (y − 3) = 7 : 1 and (x + 6) : (y + 6) = 5 : 2.
   3. Solving the two linear equations gives x = 24, y = 6.
   4. Check: 21 : 3 = 7 : 1 and 30 : 12 = 5 : 2.

4. Example 4उदाहरण 4 · Problems on ages · Mediumमध्यम

   The present ages of Lakshmi's grandfather and Lakshmi are in the ratio 4 : 1. After 9 years the ratio will be 7 : 4. What is the present age of Lakshmi?

   1. 2 years
   2. 3 years
   3. 4 years
   4. 6 years
   Answer:उत्तर: 3 years

   1. Let the ages be 4k and 1k.
   2. (4k + 9) / (1k + 9) = 7/4 → 4(4k + 9) = 7(1k + 9).
   3. 9k = 27 → k = 3.
   4. Present age = 3 years.

5. Example 5उदाहरण 5 · Problems on ages · Mediumमध्यम

   The present ages of Isha's father and Isha are in the ratio 7 : 2. After 13 years the ratio will be 11 : 5. What is the present age of the father?

   1. 32 years
   2. 34 years
   3. 42 years
   4. 53 years
   Answer:उत्तर: 42 years

   1. Let the ages be 7k and 2k.
   2. (7k + 13) / (2k + 13) = 11/5 → 5(7k + 13) = 11(2k + 13).
   3. 13k = 78 → k = 6.
   4. Present age = 42 years.

6. Example 6उदाहरण 6 · Problems on ages · Mediumमध्यम

   The present ages of Joseph's mother and Joseph are in the ratio 4 : 1. After 5 years the ratio will be 11 : 4. What is the present age of Joseph?

   1. 5 years
   2. 6 years
   3. 7 years
   4. 8 years
   Answer:उत्तर: 7 years

   1. Let the ages be 4k and 1k.
   2. (4k + 5) / (1k + 5) = 11/4 → 4(4k + 5) = 11(1k + 5).
   3. 5k = 35 → k = 7.
   4. Present age = 7 years.

Common mistakesआम गलतियाँ

• Adding years to only one person.
• Answering the present age when the question asks for the age after or before some years.

Frequently asked questionsअक्सर पूछे जाने वाले प्रश्न