Fundamental Concepts of Algebra — Statement I-II Type Questions

Statement 1: Your mother's age ($4x$ years) is 3 years more than 3 times of your age ($y$ years).

$\Rightarrow x = 3y + 3$

Statement 2: Your mother is 3 years less than 3 times of your age.

Which of the following options is correct?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

Answer

Mother's age = 3 years more than thrice your age = $3 \times$ your age + 3

$\Rightarrow x = 3y + 3$

So, statement 1 is true.

The mother's age is 3 years more than 3 times your age, not 3 years less.

So, statement 2 is false.

Hence, option 3 is the correct option.