Question

Two numbers are such the ratio between them is 3:5.if each is increasesd by 10, the ratio between the new numbers so fromed is 5:7. find the original numbers

Answer 1

$\bold{Answer :}$

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 two numbers are

(3 × 5) and (5 × 5)

i.e., 15 and 25

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