Question

Tom's and Tim's ages add up to 21 years. In 3 years, Tom will be twice Tim’s age. How old are they now?

Answer 1

LET , THE PRESENT AGE OF TOM BE x,
THEREFORE , TIM'S AGE = 21 - x

AFTER 3 YEARS ,

AGE OF TOM = TWICE TIM'S AGE .
=> x + 3 = 2 ( 21 - x )
=> x + 3 = 42 - 2x
=> 3x = 39
=> x = 13

THEREFORE , TOM'S PRESENT AGE = 13 YEARS .

AND , TIM'S PRESENT AGE = 21 - 13 = 8 YEARS .

Answer 2

$\textbf{\huge{ANSWER:}}$

Let the age of Tim = x
Age of Tom = 21 - x

ATQ:

After 3 years:

x + 3 = 2 ( 21 - x )

=》 x + 3 = 42 - 2x

=》 3x = 42 - 3

=》 3x = 39

=》 x = 39/3

=》 x = 13 years

Tim = 13 years

Tom = 21 - 13 = 8 years