Find the pair of numbers a whole number and a fractions that always give the same product 12.(Atleast 10 pairs)
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Given :
- The pair of numbers --- a whole number and a fractions that always give the same product 12
To find :
- Atleast 10 pairs
Solution :
- Let the faction be a/b and the whole number be x
- Then a/b * x = 12
- or, a = 12b / x
- (1) when b = 1, x = 1, a = 12
- (2) when b = 2, x = 1, a = 24
- (3) when b = 3, x = 1, a = 36
- (4) when b = 5, x = 10, a = 6
- (5) when b = 10, x = 10, a = 12
- (6) when b = 3, x = 4, a = 9
- (7) when b = 7, x = 6, a = 14
- (8) when b = 9, x = 3, a = 36
- (9) when b = 11, x = 11, a = 12
- (10) when b = 8, x = 2, a = 48
Answer :
- Required pairs are ---
- (1, 12/1), (1, 24/2), (1, 36/3), (10, 6/5)
- (10, 12/10), (4, 9/3), (6, 14/7), (3, 36/9)
- (11, 12/11), (2, 48/8)
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