Question

6. A number when multiplied by 4, exceeds itself by 45. Find the number.​

Answer 1

✬ Number = 15 ✬

Step-by-step explanation:

Given:

• A number when multiplied by 4 , exceeds itself by 45.

To Find:

• What is the number ?

Solution: Let the number be x. Therefore,

➳ Number when multiplied by 4

➳ Number = 4x

A/q

• When number is multiplied by 4 , it exceeds itself by 45.

$\implies{\rm }$ 4x = x + 45

$\implies{\rm }$ 4x – x = 45

$\implies{\rm }$ 3x = 45

$\implies{\rm }$ x = 45/3

$\implies{\rm }$ x = 15

Hence,

➫ The number is x = 15

__________________

★ Verification ★

➟ 4x = x + 45

➟ 4(15) = 15 + 45

➟ 60 = 60

$\large\boxed{\texttt{Verified}}$

Answer 2

Given :-

• A number when multiplied by 4, exceeds itself by 45.

To find :-

• Find the number.

Solution :-

Let the number be x

➩ 4x = x + 45 .........(Given)

➩ 4x - x = 45

➩ 3x = 45

➩ x = 45/3

➩ x = 15

Therefore, the number is 15.