Age Problems and Solution

Age problems and solution Problem 1 Kevin is 4 years older than Margaret. Margaret. Next year Kevin will be 2 times as old as Margaret. Margaret. How old is Kevin?

Solution Let

be Kevin's present age.

 Then Margret's Margret's present age is

Next year Kevin will be

.

years old and Margaret Margaret will be

years old.

!in"e next year Kevin will be 2 times as old as Margaret Margaret yo# "an write the e$#ation .

!olve this e$#ation by simpli%ying it step by step& a%ter bra"(ets opening at the right side) a%ter moving variable terms to the right and "onstant terms to the le%t) a%ter "ombining li(e terms)

 Th#s yo# got that Kevin's Kevin's present age is

years.

Check . *% Kevin's present age is + years then Margaret Margaret is years old now. Next year Margaret Margaret will be 4 years old while Kevin will be , years old whi"h means that next year Kevin will be 2 times as old as Margaret. Margaret.

 The sol#tion is "orre"t.

Answer. Kevin is + years old now.

Problem 2 -nn is 2 years older than etty. Last year -nn was 2 times as old as etty. How old is -nn?

Solution Let

be -nn's present age.

 Then etty's present age is

Last year -nn was

.

years old and etty was

years old. !in"e last year -nn was 2 times as old as etty yo# "an write the e$#ation .

!olve this e$#ation by simpli%ying it step by step& a%ter bra"(ets opening at the right side) a%ter moving variable terms to the right and "onstant terms to the le%t) a%ter "ombining li(e terms)

 Th#s yo# got that -nn's present age is

years.

Check . *% -nn's present age is / years then etty is

years old

now. Last year -nn was 4 years old while etty was 2 years old  whi"h means that last year -nn was 2 times as old as etty.  The sol#tion is "orre"t.

Answer. -nn is / years old now.

Problem 3 !#san is 0 years older than Tom. Two years ago !#san was twi"e as old as Tom. 1ind their present ages.

Solution Let be Tom's age 2 years ago.  Then !#san's age was

 Tom's present age is !#san's present age is

2 years ago.

. .

!in"e !#san is 0 years older than Tom yo# "an write the e$#ation .

!olve this e$#ation by simpli%ying it step by step& a%ter "ombining li(e terms at the right side)

a%ter moving variable terms to the right and "onstant terms to the le%t) a%ter "ombining li(e terms)

 Th#s yo# got that Tom was

years old two years ago.

Hen"e !#san was

years old at that time.

-t present Tom is

years old and !#san is

years old.

Answer. -t present Tom is / years old and !#san is , years old.

Problem 4  erry is + years older than enni%er. *n three years erry will be twi"e as old as enni%er. 1ind their present ages.

Solution Let

be enni%er's present age.

 Then erry's present age is

.

*n three years enni%er's age will be three years will be

 while erry's age in

.

!in"e in two years erry will be twi"e as old as enni%er yo# "an write the e$#ation .

!olve this e$#ation by simpli%ying it step by step& a%ter bra"(ets opening at the right side) a%ter moving variable terms to the right and "onstant terms to the le%t) a%ter "ombining li(e terms)

 Th#s yo# got that erry's present age is Hen"e enni%er's present age is

*n three years erry will be will be

years. years.

years old while enni%er

years old.

Answer. -t present erry is 4 years old and enni%er is 33 years old.

Problem 5 - man has a da#ghter and a son.  The son is three years older than the da#ghter. *n one year the man will be six time as old as the da#ghter is now. *n ten years the man will be %o#rteen years older than the "ombined ages o% his "hildren at that time. hat is the man's present age?

Solution Let

the da#ghter's present age.

 Then the son's present age is

.

!in"e in one year the man will be six time as old as the da#ghter is now the man's present age is . *n ten years the man's age will be da#ghter's age will be

 while the

and the son's age will be

.

!in"e in ten years the man will be %o#rteen years older than the "ombined ages o% his "hildren at that time yo# "an write an e$#ation .

!olve this e$#ation by simpli%ying it step by step& a%ter "ombining li(e terms at the right side) a%ter moving variable terms to the right and "onstant terms to the le%t) a%ter "ombining li(e terms) .

 Th#s yo# got that the da#ghter's present age is Hen"e the son's present age is present age is

years.

years and the man's

.

Answer. -t present the man is 43 years old.