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?

Hint:

### 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 ,

∴venu has 2 sisters.

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