SOLUTION: Tom is thrice as the age of Antonette. if the sum of there age is 54. what are their ages?

Algebra.Com
Question 587206: Tom is thrice as the age of Antonette. if the sum of there age is 54. what are their ages?
Answer by Schaman_Dempster(26)   (Show Source): You can put this solution on YOUR website!
Let the ages of Tom and Alice be x and y respectively.
We know that Tom's age is thrice as Alice's age.
So, x = 3y --------------- (1)
Also, we know that the sum of their ages is 54.
Therefore,
x + y = 54
or 3y + y = 54 { Using equation (1) }
4y = 54
or y = 54/4 = 13.5
Plugging back the value of y in equation (1), we get:
x = 3*13.5 = 40.5
Hence, Tom's age is 40.5 years and Alice's age is 13.5 years


Hope this helps~!

RELATED QUESTIONS

Tom's age is thrice as Alice's age.If the sum of their ages is 54, What is the age of tom (answered by Schaman_Dempster)
anna is thrice older as lyn. what there ages if the sum of their age 1 year ago was 38?... (answered by stanbon)
A man's age is 2 yrs. more than thrice his son's age. Find the ages of both if the sum of (answered by ccs2011)
Luisa's age is thrice than the age of Lance, The sum of their ages is 52. Find their... (answered by Cromlix)
A woman is twice as old as her daughter. Five years ago the sum of their ages was 44.... (answered by htmentor)
Kaden is 1/4 as old as Tom now. In 7 years, the sum of their age will be 54. How old is... (answered by mananth)
Karen's age is 12 years more than Clarann's age. The sum of their age is 58. What are... (answered by Boreal)
Tom Johnson is 1 year less than twice as old as his sister. If the sum of their ages is... (answered by mengayzkie)
Molly's age is twice Anita's. If the sum of the square of their ages is 80, what are... (answered by drj)