Question

我想到了两个整数。它们的乘积是 $24$ ，和是 $11$ 。较大的数是多少？

I'm thinking of two whole numbers. Their product is $24$ and their sum is $11.$ What is the larger number?

$3$

$4$

$6$

$8$

$12$

$24$ 的因数对为 $(1,24),(2,12),(3,8),(4,6)$ 。

唯一和为 $11$ 的因数对是 $(3,8)$ ，所以较大的数是 $8$ 。

所以正确答案是 D。

The factor pairs of $24$ are $(1,24),(2,12),(3,8),(4,6)$ .

The only pair with sum $11$ is $(3,8)$ , so the larger number is $8$ .

Thus, D is the correct answer.