Five years ago, Ajay was thrice as old as Sonu. Ten years later, Ajay will be twice as old as Sonu. How old are Ajay and Sonu? Solve it by graphical method.
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Answers
Step-by-step explanation:
Five years ago,
Age of Ajay = x – 5 years
Age of Sonu = y – 5 years
Ajay was thrice as old as Sonu
X- 5 = 3(y – 5)
X – 5 = 35 – 15
X – 3y = -15 + 5
X – 3 y = - 10 ………..(1)
Ten years later,
Age of Ajay = x + 10
Age of Sonu = y + 10
Ajay will be twice as old as Sonu.
X+ 10 = 2(y+10)
X + 10 = 2y + 20
X – 2y = 10 ………..(2)
X – 3 y = - 10 ………..(1)
Subtracting equation (1) from equation (2) we get
Y= 20
x-3×20= -10
x= 60-10
X= 50
Hence age of Ajay = 50 years and age of Sonu= 20 years
Answer:
Five years ago,
Age of Ajay = x – 5 years
Age of Sonu = y – 5 years
Ajay was thrice as old as Sonu
X- 5 = 3(y – 5)
X – 5 = 35 – 15
X – 3y = -15 + 5
X – 3 y = - 10 ………..(1)
Ten years later,
Age of Ajay = x + 10
Age of Sonu = y + 10
Ajay will be twice as old as Sonu.
X+ 10 = 2(y+10)
X + 10 = 2y + 20
X – 2y = 10 ………..(2)
X – 3 y = - 10 ………..(1)
Subtracting equation (1) from equation (2) we get
Y= 20
x-3×20= -10
x= 60-10
X= 50
Hence age of Ajay = 50 years and age of Sonu= 20 year
Step-by-step explanation:
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