5 years old anu was thrice the old of sonu.after 10 year anu will be twice the old of Sonu.how old are anu and Sonu
Answers
Answer:
Step-by-step explanation:
Hello,
Anu is 5 years old, right?
I can see how this is hard.
Thrice means 3.
That means Sonu will be around 1 1/6 years old.
After that, Anu is now 15.
Sonu is supposed to now be 7.5.
Does this help?
5 years ago :-
Anu's age is 3(x-5).
10 years later :-
Anu's age is 2x.
Present ages :-
Sonu is x years old and Anu is y years old.
Now let us form equations from the given data.
⇒ --------------- 1
The first equation relates Anu's present with her future age.
⇒ ------------------ 2
⇒ ------------------ 3
The third equation relates Anu's past age with her past age.
Solution of given system of equation :-
Subtracting equation (1) from equation (2), we get,
x - 3y - (x - 2y) = 10 - (-10)
x - x - 3y + 2y = 10 + 10
y = 20
On putting the value of y = 20 in equation (1) we get
x − 3 × 20 = −10
x = 60 – 10
x = 50
∴ Age of Anu =50 years and age of Sonu = 20 years respectively.