Amina thinks of a number and subtracts $$\frac{5}{2}$$ 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?

Asked by Aaryan | 1 year ago |  207

##### Solution :-

Let the number be x.

According to the given question,

$$8(x - \frac{5}{2})$$ = 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.

Answered by Sakshi | 1 year ago

### Related Questions

#### Solve the inequations and graph their solutions on a number line  – 1 < (x / 2) + 1 ≤ 3, x ε l

Solve the inequations and graph their solutions on a number line  – 1 < ($$\dfrac{x}{2}$$) + 1 ≤ 3, x ε l

#### Solve the inequations and graph their solutions on a number line – 4 ≤ 4x < 14, x ε N

Solve the inequations and graph their solutions on a number line – 4 ≤ 4x < 14, x ε N

#### Solve (x / 3) + (1 / 4) < (x / 6) + (1 / 2), x ε W. Also represent its solution on the number line.

Solve ($$\dfrac{x}{3}$$) + ($$\dfrac{1}{4}$$) < ($$\dfrac{x}{6}$$) + ($$\dfrac{1}{2}$$), x ε W. Also represent its solution on the number line.

If the replacement set is {-3, -2, -1, 0, 1, 2, 3}, solve the inequation $$\dfrac {(3x – 1) }{2} < 2$$. Represent its solution on the number line.
Solve the inequations ($$\dfrac{3}{2}$$) – ($$\dfrac{x}{2}$$) > – 1, x ε N