A person M says, "I am 4 years younger than twice the average of my cu

1.	A person M says, "I am 4 years younger than twice the average of my current age and my age 3 years ago." What is the current age of M?1. 10 years2. 15 years3. 7 years4. 8 years
Answer» Correct Answer - Option 3 : 7 years Given: M is 4 years younger than twice the average of his current age and his age 3 years ago. Concepts used: Average = Sum of all observations/Number of observations Calculation: Let the current age of M be x years. M's age 3 years ago = x – 3 years Average = Sum of all observations/Number of observations ⇒ Average of M's current age and his age 3 years ago = (x + x – 3)/2 = (2x – 3)/2 Twice the average of M's current age and his age 3 years ago = 2 × [(2x – 3)/2] = 2x – 3 M today is 4 years younger than twice the average of his current age and his age 3 years ago. ⇒ 2x – 3 – 4 = x ⇒ 2x – x = 7 ⇒ x = 7 years ∴ Current age of M is 7 years.

A person M says, "I am 4 years younger than twice the average of my current age and my age 3 years ago." What is the current age of M?1. 10 years2. 15 years3. 7 years4. 8 years

Answer» Correct Answer - Option 3 : 7 years

Given:

M is 4 years younger than twice the average of his current age and his age 3 years ago.

Concepts used:

Average = Sum of all observations/Number of observations

Calculation:

Let the current age of M be x years.

M's age 3 years ago = x – 3 years

Average = Sum of all observations/Number of observations

⇒ Average of M's current age and his age 3 years ago = (x + x – 3)/2 = (2x – 3)/2

Twice the average of M's current age and his age 3 years ago = 2 × [(2x – 3)/2] = 2x – 3

M today is 4 years younger than twice the average of his current age and his age 3 years ago.

⇒ 2x – 3 – 4 = x

⇒ 2x – x = 7

⇒ x = 7 years

∴ Current age of M is 7 years.

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