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 so formed is 5:7. find the original number​

Answer 1

Original No = 15 and 24

Explaination

$1st \: no \: = 3x \\ 2nd \: no = 5x \\ new \: 1st \: no \: = 3x + 10 \\ new \: 2nd \: no \: = 5 x + 10 \\ so \\ \frac{3x \: + 10}{5x + 10} = \frac{5}{7} \\ = )7(3x \: + 10) = \: 5(5x + 10) \\ = )21x + 70 = 25x + 50 \\ = )25x - 21x = 70 - 50 \\ = )4x = 20 \\ x = 5 \\ \\ so \: \: \: \: original \: numbers \\ 1st = 3x \\ \: \: \: \: \: \: \: = ) 3 \times 5 = 15 \\ \\ 2nd = 5 x \\ \: \: \: \: \: = )5 \times 5 = 25$

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Answer 2

Answer:

the no in ratio 5:7 will be 25 and 35.