Question

two numbers are in ratio 3:5 . if each is increased by 10 the ratio becomes 5:7​

Answer 1

Answer:

Answer-

LET the numbers be=3x,5x

$= \frac{3x + 10}{5x + 10} = \frac{5}{7} \\ \\ = using \: cross \: multiplication \\ \\ = 7(3x + 10) = 5(5x + 10) \\ = 21x + 70 = 25x + 10 \\ = 25x - 21x = 70 - 10 \\ = 4x = 60 \\ \\ = x = \frac{60}{4} \\ \\ = x = 15$

So, the numbers are -

3x= 3×15= 45

5x= 5×15= 75

Answer 2

Let the numbers be 3x and 5x.

3x+10 / 5x+10 = 5/7

or

7(3x+10)=5(5x+10)

4x=20

x=5

So, the numbers are 15, 25.