Question

9 added to the product of two consecutive multiples of 6 gives 729. What are the numbers?

• A. 18, 24
• B. 12, 18
• C. 24,30
• D. 30, 36

Answer 1

Answer:

C. 24,30

Let the numbers be X, X + 6

X(X+6)+9=729

$X^2+6X+9=729$

$(X+3)^2=729$

$X+3=\sqrt{729}$

$X+3 = ±27$

$X=27-3=24$

So the numbers are $24,30$