rohitgoel15 wrote:

Martina earns one-sixth of her annual income during the month of June and one-eighth in August. Pam earns one-third of her annual income in June and one-fourth in August. Martina's earnings for June and August equal Pam's earnings for the same period. What portion of their combined annual income do the two girls earn during the ten months NOT including June and August?

(A) 1/8

(B) 7/24

(C) 7/18

(D) 11/18

(E) 7/8

Just pick some smart numbers, and it becomes very easy.....

Martina's income = 24

June\(= \frac{1}{6} =4\)

August \(= \frac{1}{8} =3\)

Pam's income \(=\frac{1}{3} +\frac{1}{4}=\frac{7}{12}\) => \(\frac{7}{12}*x=7\), so\(x=12\) Because Pam's and Martina's income for June&August are equal

So, combined income = 12+24=36, and they earned in June&August 14 means in other months 22 -->\(\frac{22}{36}=\frac{11}{18}\) Answer D

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