The average age of a group going for picnic is . persons with average age join them so that the average age becomes . Then the number of persons who were initially going for picnic:

20 Explanation: Method 1: Standard Algebraic Approach 1. Defining the Variables Let the initial number of persons in the group be . The initial average age of these individuals is . Therefore, the sum of ages of the initial group of people is: 2. Accounting for the New Members A new group of joins the picnic. Their average age is given as . The sum of ages of these new individuals is: 3. Setting Up the Combined Equation After joining, the total number of people becomes . The new combined average age of the whole group becomes . Therefore, the total combined sum of ages can be represented in two ways: 4. Solving for Expand the left side of the linear equation: Rearrange the terms to group all variables on one side and constants on the other:

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NIMCET 2007 — Reasoning PYQ

NIMCET | Reasoning | 2007

The average age of a group going for picnic is $16 yrs$ . $20$ persons with average age $15 yrs$ join them so that the average age becomes $15.5 years$ . Then the number of persons who were initially going for picnic:

NIMCET 2007 — Reasoning PYQ

Choose the correct answer:

Explanation

Method 1: Standard Algebraic Approach

1. Defining the Variables

2. Accounting for the New Members

3. Setting Up the Combined Equation

4. Solving for $x$

Explanation

Method 1: Standard Algebraic Approach

1. Defining the Variables

2. Accounting for the New Members

3. Setting Up the Combined Equation

4. Solving for $x$

Choose the correct answer:

Explanation

Method 1: Standard Algebraic Approach

1. Defining the Variables

2. Accounting for the New Members

3. Setting Up the Combined Equation

4. Solving for x

4. Solving for $x$