six subtracted from a number is equal to one fourth of the sum of the number and 45 find the number ​

Six is subtracted from a number.

The result is equal to one fourth of the sum of the number and 45 find the number .

What is the number ?

Solution: Let the number be x.

➟ Subtracting 6 from x.

➟ (x – 6) ㅤㅤㅤㅤㅤ(eqⁿ 1)

Now,

➙ One fourth of sum of the number + 45

➙ 1/4 × x + 45

➙ x + 45/4ㅤㅤㅤㅤ(eqⁿ 2)

According to the question,

Equation 1 = 2

⟹ (x – 6) = x + 45/4

⟹ 4(x – 6) = x + 45

⟹ 4x – 24 = x + 45

⟹ 4x – x = 45 + 24

⟹ 3x = 69

⟹ x = 69/3

⟹ x =23

Hence, the number is 23.

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