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Muthamil arasi

· started a discussion

· 1 Months ago

averages (Question:862197.0)

why should you assume that the large number is 5x

Question:
The difference of two numbers is 20% of the larger number. If the smaller number is 20, the larger numbers is: 
Options:
A) 25
B) 45
C) 50
D) 80
E) 40
Solution:
Ans: (a) Let the larger number = 5x 

smaller number = 20 [Given] 

According to the question,

\(\Rightarrow\) 5x - 20 = \(\cfrac{20}{100_o}\) × 5x

\(\Rightarrow\) 5x- 20 = x

\(\Rightarrow\) 4x = 20   

x = 5 

Hence, Larger number 

= 5 × 5 =  25 

Knowledge Expert

· commented

· 1 Months ago

Dear student
Here the largest number is assumed as 'x' and 20% of the larger number is 20x/100 =x/5
x - 20 = x/5
5x - 100=x
4x=100
x=25

Hope you get it now.
Regards
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