The age of Tapan is half of Tarun. After 5 years the sum of their age will be 100 years. Then what is the age of Tarun ?
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Answer:
Age of Tarun = 60
Step-by-step explanation:
from question:
x = y/2 ------------------ (1)
(x + 5) + (y+ 5) = 100
x + y + 10 - 100 = 0
x + y - 90 = 0
substitute (1) in this state
y/2 + y - 90 = 0
Taking LCM
y + 2y - 180 = 0
------------------
2
3y - 180 = 0
Dividing by 3,
(÷3) y - 60 = 0
y = 60
y = 60 in (1)
x = y/2
x = 60/2
x = 30
Age of Tarun = 60
Age of Tapan = 30
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