Complex Examples on Ages 2

In this class, We discuss Complex Examples on Ages 2.

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The reader should have prior knowledge of basic examples on ages. Click Here.

Example 1:

Ayesha’s father was 38 years of age when she was born.

Her mother was 36 years of age when her brother, four years younger, was born.

What is the difference between parents?

Solution:

The below diagram shows the way to solve these problems

Ayesha’s father was 38 when Ayesha was born.

The line in the diagram shows the father’s age when Ayesha was born.

Draw lines to avoid confusion and solve the question quickly.

Ayesha’s mother was 36 when her brother, four years younger, was born.

The line shows the mother’s age when her brother was born.

From the diagram, it was clear father’s age was 38 + 4 = 42 by the time his brother was born.

Mother was age 36 when Ayesha’s brother was born.

42 – 36 = 6years.

The difference between the parent’s ages is six years.

Example 2:

My brother is three years older than me.

My father was 28 years old when my sister was born.

My mother was 26 years of age when I was born.

My sister was four years old when my brother was born.

What was my father and mother’s age when my brother was born?

Solution:

The below diagram shows the ages according to the question.

Always draw the diagram for clarity and ease.

From the diagram, it’s clear father’s age was 28+4 = 32 when my brother was born.

Mother’s age was 26-3 = 23 when her brother was born.

The ages of the father and mother are 32 and 23.

Example 3:

A person was asked to state his age in years.

He replied, “Take my age three year’s hence, multiply by 3 and then subtract 3 times my age 3 years ago and you will know how old i am.”

What is his age?

Solution:

Let present age = x

3(x+3) – 3(x-3) = x

3x+9 -3x + 9 = x

x = 18