Question

Given Sara’s age today be \[y\] years. Think of her age in the future or in the past. What will the following expression indicate?
\[y + 7,y - 3,y + 4\dfrac{1}{2},y - 2\dfrac{1}{2}\]

Answer 1

- Hint: In this problem, to consider the present age of the Sara as reference. Next, if quantity m is added in Sara’s age, it will indicate age after m years, and if some quantity n is added in Sara’s age, it will indicate age before n years.

Complete step-by-step solution -
Sara's present age be \[y\] years.
(i). The expression \[y + 7\] indicates the following statement.
\[y + 7 = {\text{Age of Sara after 7 years}}\]

(ii). The expression \[y – 3\] indicates the following statement.
\[y - 3 = {\text{Age of Sara before 3 years}}\]

(iii). The expression\[ y + 4\dfrac{1}{2}\] indicates the following statement.
\[y + 4\dfrac{1}{2} = {\text{Age of Sara after four and half years}}\]

(iv). The expression \[y - 2\dfrac{1}{2}\] indicates the following statement.
\[y - 2\dfrac{1}{2} = {\text{Age of Sara before two and half years}}\]

Note: If the present age is y, then, ny represents the age after n times of y. If the present age is y, then, the expression y+n represent age after n years, and if the present age is y, then, the expression y-n represent age before n years