There are two companies X and Y, each having three groups: HR, Marketing, and Finance. The following information is given: Company X has 64 existing m...

Question

There are two companies X and Y, each having three groups: HR, Marketing, and Finance. The following information is given:

  • Company X has 64 existing members in total. If 2 new members are added to each group, the ratio of total members (existing + new) in HR and Marketing combined to the total members in Finance becomes 4:34 : 3.

  • Company Y has 6 existing members in HR and 10 existing members in Finance. No new members are added to HR in company Y.

  • Additional information:

    1. Total members (new + existing) in Finance group of company Y is half the total members (new + existing) in Marketing group of company X.
    2. New members added in Finance group of company Y is half the new members added in Marketing group of company Y.
    3. Total members (new + existing) in Marketing group of company X is 6 more than total members (new + existing) in Marketing group of company Y.
    4. Total members (new + existing) in HR group of company X and Finance group of company Y together equal 28.

Find the ratio of total members (new + existing) of company X to company Y.

Options

A.

35 : 19

B.

31 : 18

C.

35 : 18

D.

36 : 19

E.

35 : 17

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