Question

Han thinks of a number. She multiplies it by 4 then subtracts it by 1. The answer is the same as 3 times the number plus 6. What number did Han think of?​

Answer 1

Solution:

Let Amina think a number x.

According to the question, 8\left(x-\frac{5}{2}\right)=3x8(x−  

2

5

​

)=3x

\Rightarrow\ 8x-\frac{8\times5}{2}=3x⇒ 8x−  

2

8×5

​

=3x

\Rightarrow\ 8x-4\times5=3x⇒ 8x−4×5=3x

\Rightarrow8x-20=3x⇒8x−20=3x

\Rightarrow8x-3x=20⇒8x−3x=20

\Rightarrow5x=20⇒5x=20

\Rightarrow x=\frac{20}{5}=4⇒x=  

5

20

​

=4

Hence, the number is 4.