The Sum of Two Numbers is 4500. If 10% of One Number is 12.5% of the Other, Find the Numbers. - Mathematics

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Sum

The sum of two numbers is 4500. If 10% of one number is 12.5% of the other, find the numbers.

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Solution

Let the first number = x

and the second number = y

According to question,

x + y = 4500      …(i)

and 10% x = 12.5% y

i.e. 10x = 12.5y

x = `12.5/10`y         ...(ii)

Substitute the value of x in equation (i),

`12.5/10`y + y = 45000

12.5y + 10y = 45000

22.5y = 45000

y = `45000/22.5 = 2000`

Now, put the value of y in equation (ii)

x = `12.5/10 xx 2000`

x = 2500

Hence, the numbers are 2500 and 2000

Concept: Solving Linear Inequations
  Is there an error in this question or solution?
Chapter 14: Linear Equations in one Variable - Exercise 14 (C) [Page 170]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 14 Linear Equations in one Variable
Exercise 14 (C) | Q 4 | Page 170

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