Rajiv is x years. Renu, his sister is 4 years older than him. Their mother is 5 times as old as Rajiv. Their father is three times as old as Renu. Write down the
expressions, in terms of Rajiv’s age for
a) Renu’s age
b) their mother’s age c) their father’s age
Answer:
Renu’s present age is
10
years and her mother’s present age is
40
years.
Step-by-step explanation:
Let Renu’s present age is
x
years
Then her mother’s present age is
4
x
years
After 5 years , Renu’s age will be
x
+
5
years
After 5 years , her mother’s age will be
4
x
+
5
years
By given condition
4
x
+
5
=
3
(
x
+
5
)
or
4
x
−
3
x
=
15
−
5
or
x
=
10
;
4
x
=
4
⋅
10
=
40
.
Therefore, Renu’s present age is
10
years and her mother’s present age is
40
years. [ans]