the sum of three times of the age of son and the age of his father is 110. if three times the age of his father is added to the age of son we get 170 . then what is the sum of their ages and find their ages
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Answered by
3
Answer:
Let the age of the son be x and the age of the father be y
3x+y=110 (eq 1)
x+3y=170 (eq 2)
Find y in eq 1
3x+y=110
y=110-3x
Substitute in eq 2
x+3y=170
x+3 (110-3x) = 170
x+330-9x = 170
-8x=170-330
-8x=-160
x=20
The son in 20 years old
Substitute x=20 in eq 1
3x+y=110
3 (20)+y=110
60+y=110
y=50
The father is 50 years old
Answered by
0
Step-by-step explanation:
3S + F = 110
S+ 3F= 170
on solving F= 50 ,S = 20
Sum=70
hope so you got it
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