Question

Two numbers are in ratio 8:13 if 14. If added to each number, the ratio becomes 2:3. Find the numbers.

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

x:y = 8:13

x/y = 8/13

subtract 1 from both sides, gives

x-y / y = (8-13)/13 = -5/13

y-x / y =5/13

y-x = 5y/13 ---A

x+14 : y+14 = 2:3

x+14/y+14=2/3

subtract 1 from both sides

x-y/y+14 =(2-3)/3

y-x/ y+14 = 1/3

y-x = y+14/3 ----B

equate rhs of A and B

5y/13 = y +14/3

15y =13y+182

2y =182

y = 91

x/y =8/13

x = (8/13) ×91=56

two no.s are 56, 91