SOLUTIONS TO PROBLEMS
Published February 7th, 238. ByTimFinnegan:— The bottle holds 1500 grains water, and (1708 -520=) 1188 grains alcohol; hence, in equal bulks, the weight of water ia to that of alcohol as 1500 : 1188 ; consequently, 1188 cubic inches of water are equal in weight to 1500 cubic inches of alcohol; whence for the stating we have :—: — Answer=277i cubic inches alcohol 1500 cubic inches alcohol =llßß cub. in. water 1728 cubic inches water =1000 ounces. 277* x 1188x1000
= 12707 ounces— Ans.
1500x1728 239. By John Whitty, Southland :-
ft 108 37X100=3700 37 x 12= 444
4252 240. By M J O'Caliaghan, Moke Creek :— Solution.— Let as=le£fc hand digit, 2/=righfc lOx+y
hand do; then 10a:+2/=nuniber required,
xy =2; Wx+y=2xy (1). lQx+y+27=\oy+x, 9?/~ 9aj = 27; 2/-a; =3. x^y-& (2). Substitute tbiaV value of oj in equation (1), and 10y-3Q+y =2y t
(y-3) = fy«-6y; ty a -17y=-30» tf- — =
2 17y 289 49 17 7 15.^ + s-^andy =+ _, 2 16 16 4-4 .'.2/=6, x=y~S, .*. .'.36 is the number sought.
SOLUTIONS TO PROBLEMS
Otago Witness, Issue 1476, 28 February 1880, Page 24
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