Mother, daughter and an infant combined age is 74, and mother's age is 46 more than daughter and infant. If infant age is 0.4 times of daughter age, then find daughters age.  Choose one
A) 22
B) 10
C) 37
D) 38
E) 32
Assume M + D + I = 74; .................(1)   Also given M - D - I = 46 ⇒⇒ M = D + I + 46   Also I = 0.4 D ⇒⇒ I = 2/5 D   Substituting M and I values in the first equation we get D - 2525D - 46 + D + 2525D = 74   Solving D = 10   Answer:10
<result>B</result>
Mother, daughter and an infant combined age is 74, and mother's age is 46 more than daughter and infant. If infant age is 0.4 times of daughter age, then find daughters age.