The Sum of Two Numbers is 405 and Their Ratio is 8 : 7. Find the Numbers. - Mathematics

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Sum

The sum of two numbers is 405 and their ratio is 8 : 7. Find the numbers.

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Solution

Let the first number = x

and the second number = 7

According to the question, x + y = 405 ……..(i)

and the numbers are in the ratio 8 : 7

According to the question,

The sum of the two numbers is 405

Now, substitute the value of x in equation (i)

8x + 7x = 405

15x = 405

`x = 405/15`

x = 27

Hence, First number = 8x = 27 × 8 = 216

Second number = 7x = 27 × 7 = 189

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 5 | Page 170

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