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QIf the product of two numbers is 266 and their difference is 5, what is the larger of the two numbers?

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  • A 13 ✔ ✖
  • B 16 ✔ ✖
  • C 19 ✔ ✖
  • D 35 ✔ ✖
Correct Answer

Explanation

We are given two numbers, A and B, such that A > B. The product of these numbers is 266 and the value of B is equal to 266 divided by A. We are also told that the difference between A and B is 5. Using this information, we can set up the following system of equations:

Equation 1: AB = 266
Equation 2: B = 266/A
Substituting Equation 2 into Equation 1, we get:

(266/A)A = 266

This simplifies to:

A^2 - 5A + 266 = 0

(A – 19)(A – 14) = 0
Therefore , A = 19 or A = 14
Hence, bigger number = A = 19

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