The joint age of uncle tom and his brother is 60years.in 6year's time uncle tom will be twice as old as his brother was 6 years ago,how old is uncle tom? Let uncle tom be x years old
x and (60-x) now
in six years
Tom = (x+6)
brother = (54-x)
(x+6) = 2 (54-x)
x+6 = 108 -2x
3x = 102
x = 34
To solve this problem, let's first set up equations representing the given information:
1) The joint age of Uncle Tom and his brother is 60 years: x + (x - 6) = 60
This equation indicates that Uncle Tom's age plus his brother's age six years ago is equal to 60.
2) In 6 years' time, Uncle Tom will be twice as old as his brother was 6 years ago: x + 6 = 2(x - 6)
This equation indicates that Uncle Tom's age in 6 years will be twice the age his brother was 6 years ago.
Now, let's solve these equations to find the value of x, which represents Uncle Tom's age:
From equation 1:
2x - 6 = 60
2x = 60 + 6
2x = 66
x = 66/2
x = 33
Therefore, Uncle Tom is 33 years old.