62 552
Assignments Done
98,8%
Successfully Done
In June 2018

Answer to Question #13078 in Other Math for kate7

Question #13078
Paul's three children have birthdays in the same week. He bought a circular birthday cake and divided the cake in proportions to their ages (105degrees, 135degrees and 120degrees). If none of his children is older than 17, what is the sum of their three ages?
a)24
b)28
c)32
d)36
e)40
Expert's answer
Let's denote Paul's children ages by m, n and k. Then we have the following system:

m<17
n<17
k<17
m:n:k = 105:135:120
m, n, k є N

m/n = 105/135 = 21/27
m/k = 105/120 = 21/24
n/k = 135/120 = 27/24

m = 21/24 k
n = 27/24 k

Let k = 8. Then m = 7 and n = 9, so m+n+k = 7+8+9 = 24 (a).

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions