Answer: Number of games lost = 23 and Number of games won = 59.
Step-by-step explanation:
Let x = Number of games lost, y = Number of games won.
y = 13 + 2x (i)
x+ y = 82 (ii)
Substitute value of y from (i) in (ii) , we get
x+ 13 + 2x = 82
⇒ 3x= 82-13
⇒ 3x = 69
⇒ x= 23 [Divide both sides by 3]
Put value of x in (i), y= 13+2(23) = 13+46=59
Hence, Number of games lost = 23 and Number of games won = 59.
