Question

Aanamika thought of a number. She multiplied it by 2, added 5 to the product and obtained 17 as the result. What is the number, she had though of?​

Answer 1

Let us take the number Aanamika thought of as x. Then,

◘ Multiplying it by 2 → 2x

◘ Adding 5 to the product → 2x + 5

According to the question, the number obtained thus is 17.

Therefore, the following equation is formed:

$\bf{2x+5=17}$

Let us solve it.

• Transposing 5 to the RHS,

$\sf{\Rightarrow 2x=17-5}$

• Subtracting 5 from 17,

$\sf{\Rightarrow 2x=12}$

• Transposing 2,

$\sf{\Rightarrow x=\dfrac{12}{2}}$

• Dividing 12 by 2,

$\boxed{\bf{\Rightarrow x=6}}$

Therefore, the number she had thought of is 6.