Question

The difference between two numbers is 1980 I 7 5% of one number is 12.5% of the other number, find
the larger number​

Answer 1

Answer:

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Answer 2

Answer: The answer is 4950.

Explanation:

Step 1: Given Data

The difference between 2 number is 1980

Let the two numbers be x and y

Therefore it is given that 75% of x = 12.5 percent of y

Mathematically,

.75x = .125y

Step 2: Find the value of x

We know,

$.75x = .125y\\\frac{.75}{.125} = \frac{y}{x}\\\frac{3}{5}x=y\\y = 0.6x-----1$

Therefore y = 0.6x

Step 3: Find the value of x

We know,

$x-y = 1980\\therefore \hspace{2}substituting \hspace{2}eqaution 1\\x-0.6x =1980\\0.4x=1980\\x = \frac{1980}{0.4}\\x = 4950------ > 2$

Step 4: Find the value of y

Substituting equation 2 in 1

$y = 0.6X4950$

y = 2970

Step 5: Find the greater number

We can see x > y because 4950 > 2970 , Therefore our answer is 4950.

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