LINEAR EQUATION. if twice the son age in years is added to the father age, the sum is 70 . but if twice the father ages is added to the son age the sum is 95. find the ages of sons and father
Answers
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
---------------
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
Answer:
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
---------------
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