The ratio of A and B is 5:2. The sum of the greatest common factor and the least common multiple of A and B is 550. What is the sum of A and B?
甲、乙两数的比是5：2，甲、乙两数的最大公因数与最小公倍数的和为550，则甲乙两数的和是多少．
<gadget id="calculator">5 * 2</gadget>
<output>10</output>

<gadget id="calculator">1 + 10</gadget>
<output>11</output>

<gadget id="calculator">550 / 11</gadget>
<output>50</output>

<gadget id="calculator">5 * 50</gadget>
<output>250</output>

<gadget id="calculator">2 * 50</gadget>
<output>100</output>

<gadget id="calculator">250 + 100</gadget>
<output>350</output>

<result>350</result>