Chapter 5
G.19
G.20
G.21 Prove that there are infinitely many integers such that the sum of the digits in their square equals the sum of the digits in their cube.
G.22 JOURNAL PROBLEM (From Journal of Recreational Mathematics, Vol. II, #2) Translate the following message: Wx utgtuz f pbkz tswx wlx xwozm pbkzr, f exbmwo cxlzm xm ts jzszmfi fsv cxlzm lofwzgzm tswx wlx cxlzmr xe woz rfnz uzsxntsfwtxs fkxgz woz rzpxsu tr tncxrrtkiz, fsu T ofgz frrbmzuiv exbsu fs funtmfkiz cmxxe xe wotr kbw woz nfmjts tr wxx sfmmxl wx pxswfts tw. Ctzmmz Uz Ezmnfw