Question

Form a pair of linear equations in two variables using the following information. Five years ago , Sagar's age was twice old as vijay. Ten years later sagar's age will ten years more than vijay's age.Find their present ages .What was the age of sagar when Vijay was born?

Answer 1

Hey dear I think this can be ur answer...
According to question,
Let sagar's age be x and vijay's be y
So, 5 years ago,
x-5=2(y-5)
x-5=2y-10
x-2y =-5-__(1)
Now, ten years later,
x+10=y+10+10
x=y+10-__(2)
Substituting (2)in (1),
(y+10)-2y=-5
-y+10=-5
y=15years - age of vijay
Now, x=y+10=15+10=25years - age of sagar
When vijay was born (y=0), x=y+10=10years
Sagar was 10years of age.....
Hope it was helpful......

Answer 2

Answer:

Step-by-step explanation:

Let the age of Raj 5 yrs ago = x years

then, Ravi's age 5 yrs ago = 3x years

Now, present age of Raj = (x + 5) yrs

       present age of Ravi = (3x + 5) yrs

Raj's age after 5 yrs = (x + 5 + 5) years = (x + 10) yrs

Ravi's age after 5 yrs = (3x + 5 + 5) years = (3x + 10) yrs

According to question:3x + 10 = 2 (x + 10)⇒ 3x + 10 = 2x + 20⇒ 3x − 2x = 20 − 10⇒ x = 10So,  

present age of Raj = 10 + 5 = 15 years

present age of Ravi = 3 × 10 + 5 = 35 years

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