Question

Two numbers are such that the ratio between them is 3:5 .If each is increased by 10 the ratio between the new numbers so formed is 5:7 .Find the original numbers...

Answer 1

15 and 25 are the original numbers

Answer 2

Given :-

• Two numbers are such that the ratio between them is 3:5
• If each is increased by 10 the ratio between the new numbers so formed is 5:7

To Find :-

• The Original Numbers

Solution :-

⟼ Let the First Number be 3x

⟼ Let the Second Number be 5x

❑ After Increasing the Number by 10

⟼ Let the First Number be 3x + 10

⟼ Let the Second Number be 5x + 10

♱ According to the Question ♱

➞ 3x + 10 / 5x + 10 = 5 / 7

➞ 7 (3x + 10) = 5 (5x + 10)

➞ 21x + 70 = 25x + 50

➞ 21x - 25x = 50 - 70

➞ - 4x = - 20

➞ x = 20/4

➞ x = 5

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Therefore :-

• First Number = 3x = 3 × 5 = 15
• Second Number = 5x = 5 × 5 = 25

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