Question

The sum of 1/4 and 1/5 of a number is 27. Find the number.
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Answer 1

Writing this as an algebraic expression:

3/5 * x = 27

To solve for x, multiply both sides of this equation by 5/3; that will get rid of the fraction on the left side:

(5/3)(3/5) * x = 27(5/3)

x = 135/3

Reduce this fraction by dividing the numerator and denominator by the greatest common factor (GCF); in this case, it is 3:

x = 45

Now, you’re looking for 1/2 of x? Multiply 45 by 1/2 and you get 45/2.

So the number is equal to 45, and half of that number expressed as a fraction is 45/2. You can express this as a decimal and end up with 22.5

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Answer 2

Answer:

let the number be x

1/4x +1/5x = 27

LCM= 9x/20=27

= 9x=27×20

=9x=540

x=540/9

x=6