If twice the son age is added to father age the sum is 70 But if twice the father age is added to son age,the sum is 95 .Find both ages.
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let the age of the father be x and the age of the son be y
according to the conditions,
2y+x=70 ..............(1)
2x+y=95 ..............(2)
multiplying equation (1) into 2 we get
subtracting equation (2) from equation (3)
4y+2x=140 .........(3)
y+2x= 95
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3y = 45
y=15 ..................(4)
substituting (4) in (2) we get
15 +2x=95
2x=80
x=40.
Therefore the age of the father is 40yrs and that of the son is 15 yrs
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