Q1.six subtracted from a number is equal to one fourth of the sum of the number and 45 find the number.
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Explanation:
✬ Number = 23 ✬
Step-by-step explanation:
Given:
Six is subtracted from a number.
The result is equal to one fourth of the sum of the number and 45 find the number .
To Find:
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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