Question

5
Amina thinks of a number and subtracts
2
from it. She multiplies the result by 8. The
esult now obtained is 3 times the same number she thought of. What is the number?​

Answer 1

Answer:

Step-by-step explanation:

Sol. Let Amina think a number, x After subtracting 52 from it we have =x−52 According to the conditions given,

8(x−52)=3x

⇒8x−8×52=3x ⇒8x−4×5=3x ⇒8x−20=3x ⇒8x−3x=20 Transposing \( 3 x \) to \( L . H . S . \)

and 20 to \( \mathrm{R.H.S.} \). \( \Rightarrow \quad 5 x=20 \)

\( \Rightarrow \quad x=\frac{20}{5} \quad \) (Dividing both sides by \( \left.5 .\right \) or x=4 Hence, the required number is 4.

Answer 2

Answer:

16/5

Step-by-step explanation:

let the number be x

she subtracts 2 from it

x-2 and then she multiplies the results by 8

8×(x-2)=8x-16

the result is now 3 times the number she thought

thus 3x=8x-16

5x=16x=16/5