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The sum of two numbers is 27 and their product is 182. The larger number is:

Class 10Quadratic Word ProblemsAlgebra — Quadratics

A14
B13
C15
D12

Step-by-Step Solution

Numbers

x

and

27 - x : x (27 - x) = 182, x^{2} - 27 x + 182 = 0, (x - 13) (x - 14) = 0

. Larger = 14.

Answer: A) 14

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