Amina thinks of a number and subtracts 5/2 from it. She multiplies the

1.	Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?
Answer» Let the number be x. According to the given question, 8( x - 5/2 ) = 3x 8x - 20 = 3x Transposing 3x to L.H.S and −20 to R.H.S, we obtain 8x − 3x = 20 5x = 20 Dividing both sides by 5, we obtain x = 4 Hence, the number is 4.

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

Answer»

Let the number be x.

According to the given question,

8( x - 5/2 ) = 3x

8x - 20 = 3x

Transposing 3x to L.H.S and −20 to R.H.S, we obtain

8x − 3x = 20

5x = 20

Dividing both sides by 5, we obtain

x = 4

Hence, the number is 4.