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Question

Venu has as many sisters as he has brothers. If Karuna, Venu’s sister has thrice as many brothers as she has sisters, then Venu has how many sisters?

hintHint:

let no. of sisters for venu be x
By condition no. of brothers of venu is also x
If Karuna, Venu’s sister has thrice as many brothers as she has sisters
Find no. of karuna’s brothers and no. of karuna’s sisters  and equate them as per above condition.

The correct answer is: 2 sisters


    Ans :- Venu has 2 sisters
    Explanation :-
    let no. of sisters for venu be x
    By condition no. of brothers of venu is also x
    Step 1:-Find no. of karuna’s brothers and no. of karuna’s sisters
    No. of sisters of karuna is no. of sister of venu except herself
    No. of karunas sisters = no. of sister for venu - 1 = x -1
    No. of brothers of karuna are no. of brothers of venu including venu.
    No. of brothers of karuna = x + 1
    Step 2:-equate the condition
    If Karuna, Venu’s sister has thrice as many brothers as she has sisters
    Now ,left parenthesis x plus 1 right parenthesis equals 3 left parenthesis x minus 1 right parenthesis not stretchy rightwards double arrow x plus 1 equals 3 x minus 3
    not stretchy rightwards double arrow 1 plus 3 equals 3 x minus x not stretchy rightwards double arrow 4 equals 2 x
    not stretchy rightwards double arrow x equals 2
    ∴venu has 2 sisters.

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