The product of two positive numbers is 266 and their difference is 5. What is the bigger number?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 19
The two numbers are factors of 266 that differ by 5, so 266 is split into its prime factors and the factor pairs are listed.
\(266=2\times7\times19\)
Factor pairs: \(1\times266\), \(2\times133\), \(7\times38\), \(14\times19\)
Only \(19-14=5\)
The numbers are 14 and 19, so the bigger number is 19.