The sum of the ages of father, mother, elder brother, and younger sister is 100 years old, and the ages of all four are prime numbers, and the sum of the ages of every three persons is a multiple of 3. How old is mother?
爸爸，妈妈，哥哥，妹妹年龄和是100岁，四个人年龄都是质数，每三个人年龄和都是3的倍数．妈妈年龄是多少岁？
<result>37</result>