Question

Select the correct option for the ages of Olivia's grandmother and mother in $2020$ and $2025$ by looking for a pattern in the ages given in the table below.

• A. In $2020$:
  Olivia's grandmother's age $=65$
  Olivia's mother's age $=39$
  
  In $2025$:
  Olivia's grandmother's age $=60$
  Olivia's mother's age $=34$
  
• B. In $2020$:
  Olivia's grandmother's age $=59$
  Olivia's mother's age $=33$
  
  In $2025$:
  Olivia's grandmother's age $=64$
  Olivia's mother's age $=38$
• C. In $2020$:
  Olivia's grandmother's age $=65$
  Olivia's mother's age $=39$
  
  In $2025$:
  Olivia's grandmother's age $=70$
  Olivia's mother's age $=44$
• D. In $2020$:
  Olivia's grandmother's age $=60$
  Olivia's mother's age $=34$
  
  In $2025$:
  Olivia's grandmother's age $=65$
  Olivia's mother's age $=39$

Answer 1

The correct option is D In $2020$:

Olivia's grandmother's age $=60$
Olivia's mother's age $=34$

In $2025$:
Olivia's grandmother's age $=65$
Olivia's mother's age $=39$
Given:


I. By observing the above table for the ages of Olivia's grandmother in different years, we find the pattern as:


$\therefore$ As the year is changing in the interval of $5$, grandmother's age is also decreasing in an interval of $5$ years.

Hence,
$\bullet \text{Grandma's age in the year}2025$
$=\text{(Grandma's age in year}2030)-5$
$=70-5$
$=\underset{–}{65\text{years}}$

$\bullet \text{Grandma's age in the year}2020$
$=\text{(Grandma's age in year}2025)-5$
$=65-5$
$=\underset{–}{60\text{years}}$

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II. By observing the given table for the ages of Olivia's mother in different years, we find the pattern as:


$\therefore$ As the year is changing in the interval of $5$, Olivia's mother's age is also decreasing in an interval of $5$ years.

Hence,
$\bullet \text{Olivia's mother's age in the year}2025$
$=\text{(Mother's age in year}2030)-5$
$=44-5$
$=\underset{–}{39\text{years}}$

$\bullet \text{Olivia's mother's age in the year}2020$
$=\text{(Mother's age in year}2025)-5$
$=39-5$
$=\underset{–}{34\text{years}}$

Hence, option (d.) is the correct one.