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The number is 100
Step-by-step explanation:
》Given 《
4/5 of a number is greater than 3/4th of the number by 5.
Let the number be x...'is' means 'equal to (=)'
Equation
4/5x = 3/4x + 5
4/5x - 3/4x = 5
LCM = 20
4/5x = 4 × 4/5×4 = 16/20x
3/4x = (3 × 5)/(4 × 5) = 15/20x
16/20x - 15/20x = 1/20x = 5
x = 5 × 20 = 100
x = 100
So, the number = 100
Checking
To check our answer we have to substitute the value of x to the equation
4/5x = 3/4x + 5
x = 100
4/5 × 100 = 3/4 × 100 + 5
4 × 20 = 3 × 25 + 5
80 = 80
So, Answer is Correct ✔✔
More Information
'Is' means '='
'of' means multiplication
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