Answer:
Aman's age = 20, Arun's age = 28
Step-by-step explanation:
Let [tex]x[/tex] = Aman's age
Let [tex]y[/tex] = Arun's age
- - - -
[tex]x+4+y+4=56[/tex] (Sum of their age is 56 after 4 years in the future)
[tex]x+y+8=56[/tex]
[tex]x+y=48[/tex]
[tex]\frac{x}{y} = \frac{5}{7}[/tex] (Ages are in the ratio 5:7)
[tex]x=\frac{5}{7}y[/tex]
Now, we can use substitution to find for Arun's age:
[tex]x+y=48[/tex]
[tex]\frac{5}{7}y+y=48[/tex]
[tex]\frac{12}{7}y=48[/tex]
[tex]y=28[/tex]
∴ Arun is [tex]28[/tex]
To find for Aman's age, we can use substitution:
[tex]x+y=48[/tex]
[tex]x+28=48[/tex]
[tex]x=20[/tex]
∴ Aman is 20
Hope this helps :)
