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...
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7
15 and 25 are the original numbers
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20
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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