The average age of 4 persons- A, B, C and D is 25 years. When 3 new persons E, F and G are added the average age increases by 3 years. What is the average age of E, F and G?

Option 1 : 32 years

SBI PO Prelims Full Mock Test

95439

100 Questions
100 Marks
60 Mins

**Given:**

The average age of A, B, C and D = 25 years

When E, F and G are added, the average age increases by 3 years.

**Formula used:**

Average = (sum of values)/(number of values)

**Calculation:**

Let the total age of E, F and G be x years

Initial average age = 25 years

Then, new average age = (25 + 3) years = 28 years

Now, (A + B + C + D)/4 = 25 years

⇒ A + B + C + D = 100 years

Then, (A + B + C + D + E + F + G)/7 = 28 years

⇒ (A + B + C + D) + x = 7 × 28

⇒ 100 + x = 196

⇒ x = 96

Now, the average age of E, F and G = x/3

⇒ 96/3

⇒ 32 years

**∴**** The average age of E, F and G is 32 years.**