one fourth of a number is increased by seven and the result is multiplied by three . thus,we obtain thity six . find the number
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3×(y/4 +7) = 36
y/4 +7 =12
y/4=5
y=20
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Let the number be `x`
1/4 th of the number = 1/4of x = x/4
Adding 7 to the number = (x/4)+7
=(x+28)/4
Multiplying 3 to this number = (x+28)/4 × 3
=(3x + 84)/4
Given that this resulting number = 36
⇒(3x+84)/4 = 36
⇒3x+84 = 36×4
⇒3x+84 = 144
⇒3x = 144-84
⇒3x = 60
⇒x = 60/3
∴x = 20
∴The number is 20
1/4 th of the number = 1/4of x = x/4
Adding 7 to the number = (x/4)+7
=(x+28)/4
Multiplying 3 to this number = (x+28)/4 × 3
=(3x + 84)/4
Given that this resulting number = 36
⇒(3x+84)/4 = 36
⇒3x+84 = 36×4
⇒3x+84 = 144
⇒3x = 144-84
⇒3x = 60
⇒x = 60/3
∴x = 20
∴The number is 20
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