what two-digit number is equal to three times the product of its digits????????
thanks if u helped
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2007-10-25 17:05:07 · 4 answers · asked by arggg 2 in Science & Mathematics ➔ Mathematics
24
2 * 4 * 3 = 24
2007-10-25 17:10:47 · answer #1 · answered by gitter1226 5 · 0⤊ 0⤋
Suppose the number is 10p + q, where p and q are single-digit integers and p > 0
10p + q = 3pq
q = p(3q - 10)
Clearly, q > 3 (otherwise, 3q - 10 < 0)
So try q=4,5,...9:
4 = p*2 so p=2
5 = p*5 so p=1
6 = p*8 no solution
7 = p*11 no solution
8 = p*14 no solution
9 = p*17 no solution
So there are two solutions: 15 and 24.
2007-10-26 00:17:43 · answer #2 · answered by Ron W 7 · 0⤊ 0⤋
24 will work. 2*4 = 8 and 3*8 = 24.
2007-10-26 00:10:50 · answer #3 · answered by steiner1745 7 · 0⤊ 0⤋
NO SUCH NUMBER
2007-10-26 00:13:01 · answer #4 · answered by Anonymous · 0⤊ 0⤋