Question

Two numbers are in the ratio 3 : 5. If each number is increased by 10 , the ratio becomes 5 : 7. Find the sum of the numbers.​

Answer 1

Answer:

Your Answer ↓↓↓↓↓

Let the ratio of the numbers be 3x and 5x .

If each number is increased by 10 .

then ,

\frac{3x + 10 }{5x + 10} = \frac{5}{7}

5x+10

3x+10

=

7

5

21 x + 70 = 25 x + 50

21x - 25 x = 50 - 70

-4x = -20

x = 5 .

Then , Numbers are 15 and 25 .

Sum of The Numbers = 15 + 25 = 40.

^_^ ^_^

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Step-by-step explanation:

Answer:

Ratio of the two numbers is 3 : 5

Let us take the common multiple as x

Then, the numbers are 3x and 5x

By the given condition, each number is increased by 10

Then, the new numbers be (3x + 10) and (5x + 10)

By the given condition,

(3x + 10) : (5x + 10) = 5 : 7

or, (3x + 10)/(5x + 10) = 5/7

or, 7 (3x + 10) = 5 (5x + 10)

or, 21x + 70 = 25x + 50

or, 25x - 21x = 70 - 50

or, 4x = 20

or, x = 20/4

or, x = 5

So, common multiple = 5

Therefore, the sum of the numbers

= (3x + 5x)

= 8x

= (8 × 5)

= \bold{40}40

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Answer 2

Step-by-step explanation:

Hope it helps you........