Question

if Jane is 60 years old and Tom is 32 years,if t years ago Jane was five times as old as Tom find the value of t

Answer 1

Answer:

value of "t" is 25

Step-by-step explanation:

Jane's present age is 60

so "t" years ago, Jane was 60 - t years old

Tom is 32 years old

so "t" years ago , Tom was 32 - t years old

according to question, "t" years ago Jane was five times as old as Tom

so 5 * ( Tom's age "t" years ago ) = Jane's age "t" years ago

so 5 * ( 32 - t ) = 60 - t

=> 5 * ( 32 ) - 5 * ( t ) = 60 - t

=> 160 - 5t = 60 - t

=> 160 - 60 = - t + 5t

=> 100 = 4t

=> t = 100/4

= 25

therefore 25 years ago, Jane was 5 times older than Tom

VERIFICATION :

Jane's age 25 years ago = 60 - 25 = 35

Tom's age 25 years ago = 32 - 25 = 7

Jane is 5 times older than Tom ( 7 * 5 =  35 )