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

Sum

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

#### 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

i.e. "8x"/"7y" = 1

⇒ 8x = 7y

⇒ x = 7/8y

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

7/8y + y = 405

7y + 8y = 405 × 8

15y = 3240

y = 3240/15

y = 216

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

x = 7/8 xx 216

x = 189

Hence, the numbers are 189 and 216

Concept: Solving Linear Inequations
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 14 Linear Equations in one Variable
Exercise 14 (C) | Q 5 | Page 170