A and B are multiplied together, if A remains the same and B increases by 15, then the product increases by 1590; if A increases by 15 and B remains the same, then the product increases by 675. What is the product of the numbers A and B?
甲、乙两数相乘，如果甲数不变，乙数增加15，那么积就增加1590；如果甲数增加15，乙数不变，那么积就增加675．原来甲、乙两数的积是多少？
<gadget id="calculator">1_590 / 15</gadget>
<output>106</output>

<gadget id="calculator">675 / 15</gadget>
<output>45</output>

<gadget id="calculator">106 * 45</gadget>
<output>4_770</output>

<result>4_770</result>