SOLUTION: if three times a boy's ages is increased by3, it will equal his sister's age. The sum of their ages now is 23. how old are the boy and his sister? Let x=boy's age 3x+3=sister's

Question 1200074: if three times a boy's ages is increased by3, it will equal his sister's age. The sum of their ages now is 23. how old are the boy and his sister?
Let x=boy's age
3x+3=sister's age x+(3x+3)=23

solve for x. solve for 3x+3.
x=________(boys age) 3x+3=_________(sister's age)
verify.
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.


The equation in your post

    x + (3x+3) = 23

is correct.


Continue to solve it

    x + 3x = 23 - 3

     4x    =   20

      x    =   20/4 = 5.


The boy is 5 years old.

The sister is  3*5+3 = 18 years old.


CHECK.  5 + 18 = 23  the sum of their ages.    ! correct !

Solved, with explanations.

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