Problem: Three primes, p,qp, qp,q and rrr, satisfy p+q=rp+q=rp+q=r and 1<p<q1<p<q1<p<q. Then ppp equals
Answer Choices:
A. 222
B. 333
C. 777
D. 131313
E. 171717
Solution:
Not both ppp and qqq are odd, since then rrr would be an even prime greater than 222, which is impossible. Thus one of ppp and qqq is 222. Since 1<p<q,p1<p<q, p1<p<q,p is 222.