Question

New And First Question :-

A) A father’s age is three times the age of his two sons. After 5 years, his age will be twice the sum of the ages of his sons. What is the age of the father?

Answer 1

Answer:

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Answer 2

$\huge{\bf{\underline{\red{Solution :}}}}$

Given,

• Father age is three times age of his two sons.
• After 5 years father age will be twice of the sum of his sons's  age .

To Find,

• The age of the father = ?

Solution,

⇒Let the father age be a

And , the age of his two sons be b

According to the First Condition :-

⇒ x = 3y...........1) Equation

According to the Second Condition :-

⇒ x + 5  = 2(y + 10)

⇒ x + 5 = 2y + 20

⇒ x - 2y = 20 - 5

⇒x - 2y = 15 .........2) Equation

From First equation the value of x put in Second Equation :-

⇒x - 2y = 15

⇒3y - 2y = 15

⇒y = 15

Now put the value of y in First Equation :-

⇒x = 3y

⇒x = 3(15)

⇒x = 45

Therefore ,

$\bf{\boxed{\bold{\red{ Age \ of \ Father = 45 \ years }}}}$

$\rule{200}2$