Question

The age of Rima's father is 5 years more than three times the age of Rima. If Rima's father is 32 years old. find the age of Rima.
Answer: 9 years. ​

Answer 1

$\large\mathfrak \pink{Solution:-}$

$\underline \mathbb{GIVEN:-}$

➙The age of Rima's father is 5 years more than three times the age of Rima.

➙Rima's father is 32 years old.

$\underline \mathbb{TO \: FIND:-}$

➙The age of Rima.

$\underline \mathbb{ASSUMPTION:-}$

Let, the age of Rima be x

And the age of Rima's father be 3x+5

$\underline \mathbb{BY \: THE \: PROBLEM:-}$

$Rima's \: father \: is \: 32 \: years \: old\\ \\ \implies \: 3x + 5 = 32\\ \\ \implies \: 3x = 32 - 5 \\ \\ \implies \: 3x = 27 \\ \\ \implies \: x \: = \frac{27}{3} \\ \\ \implies \: x = 9$

$\underline \mathbb{ANSWER:-}$

Age of Rima = x = 9 years.

Answer 2

GiveN:-

The age of Rima's father is 5 years more than three times the age of Rima. If Rima's father is 32 years old.

To FinD:-

Find the age of Rima.

SolutioN:-

$\sf \pink{Given}\begin{cases}&\sf{Let\:the\:age\:of\:Rima\:be\:\bf{x}\:years.} \\ \\ &\sf{Rima's\:Father's\:age\:is\:\bf{(3x+5)}\:years.} \\ \\ &\sf{Rima's\:Father's\:age\:is\:\bf{32\:years.}}\end{cases}$

According to the question,

$\large\implies{\sf{3x+5=32}}$

$\large\implies{\sf{3x=32-5}}$

$\large\implies{\sf{3x=27}}$

$\large\implies{\sf{x=\dfrac{27}{3}}}$

$\large\implies{\sf{x=\dfrac{\cancel{27}}{\cancel{3}}}}$

$\large\therefore\boxed{\mathfrak{\pink{x=9.}}}$

• Age of Rima = x = 9 years.

Rima's age is 9 years.