Question

Rishi's mother age is 2years more than three times the age of rishi. if her mothers age is 32 then what is rishi's age

Answer 1

$\underline{ \underline{ \Large \bf { Given:} } }$

• Rishi's mother age is 2 years more than three times the age of Rishi.

• Age of Rishi's mother is 32 years.

$\underline{ \underline{ \Large \bf { To \; calculate:} } }$

• Rishi's age.

$\underline{ \underline{ \Large \bf {Calculation:} } }$

Let the age of Rishi be x years.

According to the question,

$\dag$ Rishi's mother age is 2 years more than three times the age of Rishi.

$\sf { \longrightarrow Rishi's \: mother \: age =(2 +3x)\: years}$

Also,

$\dag$ Age of Rishi's mother is 32 years.

$\sf { \longrightarrow 32 = (2 +3x)}$

Now, let's find the value of x (age of Rishi) by solving this equation.

$\sf { \longrightarrow 32 = 2 + 3x}$

$\sf { \longrightarrow 32 -2= 3x}$

$\sf { \longrightarrow 30 = 3x}$

$\sf { \longrightarrow \dfrac{30 }{3} = x}$

$\sf { \longrightarrow 10 = x}$

$\sf \red{ \longrightarrow 10 \: years = Rishi's \: age}$

Henceforth, age of Rishi is 10 years.

$\underline{ \underline{ \Large \bf { Verification :} } }$

According to the question,

$\dag$ Rishi's mother age is 2 years more than three times the age of Rishi.

$\sf { \longrightarrow Rishi's \: mother \: age =(2 +3x)\: years}$

Also,

$\dag$ Age of Rishi's mother is 32 years.

$\sf { \longrightarrow 32 = (2 +3x)}$

LHS :

→ 32

RHS :

Substituting the value of age of Rishi we got above in RHS.

$\sf { \longrightarrow 2 +3(10) }$

$\sf { \longrightarrow 2 +30 }$

$\sf { \longrightarrow 32 }$

LHS = RHS, hence verified!!