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Five years ago, the average age of a family, which consisted of three members, was 27 years. The family now consists of four members as a baby was born recently. The current average age of the family is 25 years. How many years ago was the baby born?
  • a)
    1 year ago
  • b)
    2 years ago
  • c)
    3 years ago
  • d)
    4 years ago
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Five years ago, the average age of a family, which consisted of three ...
Average age of the family 5 years ago (3 members) = 27 years
Sum of the ages of the 3 older members now= (27 + 5) × 3 = 96 years
Average age of the family now (4 members) = 25 years
Sum of the ages of the 4 numbers of the family now = 25 ×4 = 100 years
So, Age of child = 100 – 96 = 4 years
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Community Answer
Five years ago, the average age of a family, which consisted of three ...
Analysis:
The average age of the family five years ago was 27 years, and the family consisted of three members. The current average age of the family is 25 years, and now the family consists of four members.

Solution:
To solve this problem, we need to find the age of the baby when he/she was born. Let's assume the age of the baby when he/she was born is x years.

Step 1: Calculate the total age of the family five years ago
- Five years ago, the family consisted of three members, so the total age = 27 * 3 = 81 years

Step 2: Calculate the total age of the family now
- Now, the family consists of four members, so the total age = 25 * 4 = 100 years

Step 3: Find the age of the baby when he/she was born
- Total age now = Total age five years ago + Age of the baby when born
- 100 = 81 + x
- x = 100 - 81
- x = 19 years

Conclusion:
The baby was born 4 years ago, as the baby's age when born is 19 years. Therefore, the correct answer is option D - 4 years ago.
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Read the following text and answer the following questions on the basis of the same:Spark coil The principle of electromagnetic induction was discovered by Michael Faraday in 1831. Induction coils were used widely in electrical experiments and for medical therapy during the last half of the 19th century, eventually leading to the development of radio in the 1890's. The spark coil designed on the principle of electromagnetic induction was the heart of the earliest radio transmitters. Marconi used a spark coil designed by Heinrich Rhumkorff in his early experiments. An induction coil or "spark coil" is a type of electrical transformer used to produce high-voltage pulses from a low-voltage (DC) supply. To create the flux changes necessary to induce voltage in the secondary coil, the direct current in the primary coil is repeatedly interrupted by a vibrating mechanical contact called interrupter.The spark scoil consists of two coils of insulated wire wound around a common iron core. One coil, called the primary coil, is made from relatively few (tens or hundreds) turns of coarse wire. The other coil, the secondary coil typically consists of up to a million turns of fine wire (up to 40 gaug e). An electric current is passed through the primary, creating a magnetic field. Because of the common core, most of the primary's flux couples with the secondary. When the primary current is suddenly interrupted, the magnetic field rapidly collapses. This causes a high voltage pulse to be developed across the secondary terminals due to electromagnetic induction. Because of the large number of turns in the secondary coil, the secondary voltage pulse is typically many thousands of volts. This voltage is sufficient to create an electric spark, to jump across an air gap separating the secondary's output terminals. For this reason, this induction coils are also called spark coils. To operate the coil continually, the DC supply current must be repeatedly connected and disconnected. To do that, a magnetically activated vibrating arm called an interrupter is used which rapidly connects and breaks the current flowing into the primary coil. The interrupter is mounted on the end of the coil next to the iron core. When the power is turned on, the produced magnetic field attracts the armature. When the armature has moved far enough, contacts in the primary circuit breaks and disconnects the primary current. Disconnecting the current causes the magnetic field to collapse and create the spark. A short time later the contacts reconnect, and the process repeats. An arc which may form at the interrupter contacts is undesirable. To prevent this, a capacitor of 0.5 to 15 μF is connected across the primary coil.Which of the following statements is correct?

Five years ago, the average age of a family, which consisted of three members, was 27 years. The family now consists of four members as a baby was born recently. The current average age of the family is 25 years. How many years ago was the baby born?a)1 year agob)2 years agoc)3 years agod)4 years agoCorrect answer is option 'D'. Can you explain this answer?
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