let

a = the age of Mrs. Andrew now

j = the age of Janelle now

mrs.andrew is 2 years less than 4 times as old as her daughter Janelle

a = 4j - 2

in 6 years Janelle will be three-eighths as old as her mother

j + 6 = (3/8)(a + 6)

by solving the system of equations

a = 4j - 2

j + 6 = (3/8)(a + 6)

we find

a = 34 years

j = 9 years

click here to see the step by step solution of the system of equations

Mrs. Andrew is 34 years old now and her daughter Janelle is 9 years old now.