A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

# 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?

**Solution:**

Let the number be x.

According to the given question,

8 (x - 5/2) = 3x

8x - 20 = 3x

Transposing 3x to LHS and -20 to RHS, we obtain

8x - 3x = 20

5x = 20

Dividing both sides by 5, we obtain

x = 4

Hence, the number is 4.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 2

**Video Solution:**

## 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?

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.4 Question 1

**Summary:**

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. The number is 4.

**☛ Related Questions:**

- A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?
- Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?
- One of the two digits of a two-digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?
- Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What are their present ages?

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