SOLUTION: David Is 6 years older than his sister Delia. In 10 years the sum of There age 52. how old are David and Delia today

Algebra.Com
Question 1144239: David Is 6 years older than his sister Delia. In 10 years the sum of There age 52. how old are David and Delia
today
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
If David is x years old, then Delia is (x-6) years old.


In 10 years David will be  (x+10)  years old; Delia will be ((x-6)+10) = (x+4) years old.


The condition says


    (x+10) + (x+4) = 52.


It implies


    2x + 14 = 52,

    2x      = 52 - 14 = 38

     x      = 38/2 = 19.


ANSWER.  David's age is 19 years.  Delia is 19-6 = 13 years old.

Solved.

----------------

There is a bunch of lessons on age word problems in this site:
    - Age problems and their solutions
    - A fresh formulation of a traditional age problem
    - Really intricate age word problem
    - Selected age word problems from the archive
    - Age problems for mental solution
    - One unusual age word problem
    - Age problem for the day of April, 1
    - OVERVIEW of lessons on age problems

Read them attentively and become an expert in this field.


Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Something like this, if you want/need to use formal algebra....

L = Delia now
L+6 = David now

L+10 + Delia 10 years from now
L+16 = David 10 years from now

(L+10)+(L+16) = 52

Solve using basic algebra.

Or informally....

Sum of their ages 10 years from now is 52.
So sum of their ages now is 52-20 = 32.
Subtract 6 years from David's age to make them the same age; the sum of their ages is now 32-6 = 26.
Then Delia's age is 26/2 = 13.
Add the 6 years back on to David's age to find out he is 13+6 = 19.
RELATED QUESTIONS

The sum of David's age and Ben's age is 40. Ann is 3 years older than David. David is 4... (answered by ikleyn)
David is 3 years older than his brother in 2 years the sum of thier ages will be 19. How (answered by mathie123)
David is 5 years older than his sister. if the sum of the squares of their age is 193,... (answered by Alan3354)
David is 3 years older than his brother. They have a combined age of 23. how old is... (answered by colliefan)
Peter is 12 years older than his brother David. If four times Peter’s age plus two times (answered by fafa)
If David’s brother is 3 years older, and the sum of their ages is 17, how old is... (answered by indra89811)
Karen is 6 years older than her sister Michelle, and Michelle is 2 years younger than... (answered by ankor@dixie-net.com)
Please help me solve this problem using algebraic equation. Chris is three years older... (answered by elima)
Jon is 4 years older than twice the age of his youngar sister, Alice. The sum of the spas (answered by MathLover1,josgarithmetic)