if twice the son's age in years is added to the age of hus father the sum is 90. if the father's age in years is added to the age of the son, the sum is 120.find their ages
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Answered by
2
Step-by-step explanation:
Let the ages of father and son be 'x' and 'y' years.
From first condition
x+2y=90...(1)
From second condition
2x+y=120...(2)
Adding eqs(1) and (2).
3x+3y=210
3(x+y)=210
x+y=210/3=70...(3)
Subract eq(1) from eq(2)
x-y=30...(4)
Add eqs(3) and (4)
2x=100
x=100/2=50
substitute x=50 in eq(3)
50+y=70
y=70-50=20.
Therefore present ages of father and his son are 50 and 20 years respectively.
Answered by
0
Answer:
let the age of the son be = x
let the age of the father be=y
according to question,
2x+y=90 eq 1
x+y=120 eq 2
solving eq 2
x=120-y
substituting the value of x in eq 1
2(120-y)+y=120
240-2y+y=120
240-y=120
-y=120-240
-y=-120
y=120
substituting the value of y in eq 2
x+120=120
x=0
therefore the age of father = y=120
age of son=x=0
I think question is wrong
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