Problem Solving (PS) | John's daughter, Alice, has twice as many sisters as brothers, whereas

Let's assume that

• the number of boys that John has =\(b\)
• the number of girls that John has =\(g\)

John's daughter, Alice, has twice as many sisters asbrothers,

From the point of view of John's daughter,Alice

• the number of boys (her brothers) =\(b\)
• the number of girls (her sisters) =\( g -1\)
  \( g -1\) because Alice is also one of thegirls
• Given :\( g - 1 = 2b\) ------------(1)

...her brother, Bob, has thrice as many sisters asbrothers...

From the point of view of John's son,Bob

• the number of boys (his brothers) =\(b-1\)
  \( b -1\) because Bob is also one of theboys
• the number of girls (his sisters) =\( g\)
• Given :\( 3(b-1) = g\) ------------(2)

From(1)

\( g = 2b +1\)

From (2)

\( g = 3b -3\)

Equatingboth

\( 2b + 1 = 3b -3\)

\( b =4\)

\( g = 2*4 + 1 =9\)

Total children =\( b + g = 9 + 4 =13\)

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Statistics : Posted by gmatophobia • on 20 Sep 2023, 08:00 • Replies 3 • Views 115

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