Father is twice as his son .20 yrs ago the father was 6 times as old his son .find their present ages
Answers
Answer:
Let the age of the son be = x
let the age of the father be = 2x
20 years ago ,
the age of the son is = x-20
and the age of the father is = 2x-20
( 2x-20 ) = 12 × ( x-20 )
( 2x-20 ) = ( 12x -240 )
2x = 12x - 240 + 20
2x = 12x-220
-10x= -220
-220 ÷ (-10 ) = 22
➡ SO THE PRESENT AGE OF THE SON IS = 22 years.
➡ THE PRESENT AGE OF THE FATHER IS = 2×22 = 44 years
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Step-by-step explanation:
suppose, father's age be "x" &
son's age be "y"
1st condition,
x=2y
x-2y=0_____[१]
20 years ago,
x-20
y-20
2nd condition,
x-20=6(y-20)
x-20=6y-120
x-6y= -120+20
x-6y= -100____[२]
subtracting equation (१)&(२)
x-2y=0
x-6y= -100
- +. = +
________
4y=100
y=25
put in equation (1)
x-2y=0
x-2(25)=0
x-50=0
x=50
father's present age is 50
and son's age is 25