Question

Mother was asked how many gifts she had in the
bag. She replied that there were all dolls but six less,
all cars but six less, and all books but six legs. How
many gifts had she in all?
​

Answer 1

AnswEr :

9 gifts.

$\bf{\red{\underline{\underline{\bf{Given\::}}}}}$

Mother was asked how many gifts she had in the bag. She replied that there all dolls but six less, all cars but six less and all books but six less.

$\bf{\red{\underline{\underline{\bf{To\:find\::}}}}}$

The gifts had she in all.

$\bf{\red{\underline{\underline{\bf{Explanation\::}}}}}$

Let the total gifts be R

$\bf{We\:have}\begin{cases}\sf{Dolls\:had\:she\:=(R-6)}\\ \sf{Cars\:had\:she\:=(R-6)}\\ \sf{Books\:had\:she\:=(R-6)}\end{cases}}$

$\bf{\red{\underline{\underline{\tt{A.T.Q\::}}}}}$

$\dashrightarrow\tt{R=3(R-6)}\\\\\\\dashrightarrow\tt{R=3R-18}\\\\\\\dashrightarrow\tt{R-3R=-18}\\\\\\\dashrightarrow\tt{-2R=-18}\\\\\\\dashrightarrow\tt{R\:=\:\cancel{\dfrac{-18}{-2} }}\\\\\\\dashrightarrow\tt{\red{R\:=\:9}}$

$\therefore\sf{\large{\orange{\underline{\sf{The\:total\:gifts\:had\:she\:in\:all=9\:gifts}}}}}$.

Answer 2

Answer:

Step-by-step explanation:

Let the total number of toys be x

Then, number of dolls =x−6

Number of cars =x−6

Number of books =x−6

According to the question:

(x−6)+(x−6)+(x−6)=x

⇒3x−18=x

⇒2x=18

⇒x=9