Question

Sohans age is double of priya age. 5 years before his age was three times of priya. Find the age of both ​

Answer 1

Explanation:

10th

Maths

Pair of Linear Equations in Two Variables

Algebraic Solution of a Pair of Linear Equations

Five years hence, father's ...

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Asked on December 20, 2019 bySupraja Salma

Five years hence, father's age will be three times the age of his son. Five years ago, father was seven times as old as his son. Find their present ages

A

Father's age =80 years, Son's age =25 years

B

Father's age =60 years, Son's age =30 years

C

Father's age =75 years, Son's age =42 years

D

Father's age =40 years, Son's age =10 years

Correct Answer

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ANSWER

Let the father present age =x years  and son present age =y years

According to the first condition

5 years later father will be (x+5) years old and son will be (y+5) years old.

⇒x+5=3(y+5)

⇒x+5=3y+15⇒x=3y+10....eq1

According to the second condition

5 years ago father was (x−5) years old and son was (y−5) years old.

⇒x−5=7(y−5)

⇒x−5=7y−35

⇒x−7y=−30....eq2

Put  the value of x from eq1

⇒3y+10−7y=−30⇒−4y=−40⇒y=10

Put y=10 in eq1

⇒x=3×10+10=40

 

Hence, Father present age