5. Find the number whose fifth part increased by 5 is equal to its fourth part diminished by 5.
6. Three numbers are in the ratio of 4:5:6. If the sum of the largest and the smallest equals
the sum of the third and 55. find the numbers.
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5. Answer: X = 200
Step-by-step explanation:
Let number be 'X'
> It's fifth part = X/5
> Fourth part = X/4
X/5 + 5 = X/4 - 5
> (X + 25) / 5 = (X -20) / 4
> 4(X + 25) = 5(X - 20)
> 4X + 100 = 5X - 100
> 5X - 4X = 200
> Hence, X = 200
6. Let the numbers be 4x, 5x and 6x
According to the question we can write as 6x+4x=5x+55
On rearranging we can write as 10x – 5x = 55
5x=55 x=55/5=11
So the numbers are 44, 55 and 66
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