SOLUTION: If three times a boy’s age is increased by 3, 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 =

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Question 1168453: If three times a boy’s age is increased by 3, 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+%2B+%283x+%2B+3%29+=+23+

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, sisters age
b, boys age
system%283b%2B3=x%2Cb%2Bx=23%29

You could SUBSTITUTE.
b%2B%283b%2B3%29=23, essentially where you stopped. No reason to stop. KEEP GOING!
b%2B3b%2B3=23
4b%2B3=23
4b=20
highlight%28b=5%29-------------Now you find sister's age.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

If three times a boy’s age is increased by 3, 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+%2B+%283x+%2B+3%29+=+23+
As requested, x = boy's age
Sister's age: 3x + 3
We then get: x + 3x + 3 = 23 <==== You do have this!!
Can't you solve for x, the boy's age?