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The sum of two numbers is 37 Their product is 330 Find the larger number?
Wiki User
∙ 14y ago
The paired factors of 330 are :-
1 x 330
2 x 165
3 x 110
5 x 66
6 x 55
10 x 33
11 x 30
15 x 22
The two factors that sum to 37 are 15 & 22. The larger number is thus 22.
Alternatively, let the two numbers be a and b. Then a + b = 37, therefore a = (37 - b). Substituting for a in ab = 330 generates the quadratic equation b2 - 37b + 330 = 0.
Solving this gives b = (37 ± 7)/2 = 22 and 15. The larger number is 22.
NOTE : The equation can also be factored giving these same answers
Wiki User
∙ 14y ago
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