Question

Two numbers are in the ratio of 5 : 8. If 12 be added to each, they are in the ratio of 3 : 4.

Find the sum of two numbers.​

Answer 1

Answer:

The value of x is 5

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Answer 2

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Let the numbers be 5x and 8x.

If 12 added to each,

• First number = 5x + 12
• Second number = 8x + 12

According to question,

$\bf \implies\frac{5x + 12}{8x + 12} = \frac{3}{4}$

$\bf \implies 4(5x + 12) = 3(8x + 12)$

$\bf \implies20x + 48 = 24x + 36$

$\bf \implies20x - 24x = 36 - 48$

$\bf \implies - 4x = - 12$

$\bf \implies4x = 12$

$\bf \implies \: x = 12 \div 4$

$\bf \implies \: x = 3$

First number = 5x = 5 × 3 = 15

Second number = 8x = 8 × 3 = 24

Therefore, sum of numbers

➨15 + 24

➨39