Question

The ratio of two numbers is 3 : 5. If 3 is added to both numbers, the new ratio is 5:8. Which equation will solve the problem?

Answer 1

Answer:

first number 30

second number 50

Step-by-step explanation:

Ratio of two number are = 3x : 5x

According to the question

(3x + 8)/(5x + 7) = 2/3

3 (3x + 8) = 2 (5x + 7)

9x + 24 = 10x + 14

10x - 9x = 24 - 14

x = 10

The first number = 3 × 10 = 30

Second number = 5 × 10 = 50

If 6 is added in each then new ratio = (30 + 6) : (50 + 6) = 36 : 56 = 9 : 14

Answer 2

Answer:

$x=9$

Step-by-step explanation:

Given the ratio of two numbers $3x:5x$

If 3 is added to both, the new ratio is $5:8$

$\implies (3x + 3):(5x + 3) = 5:8$

$\implies (3x + 3)8=(5x + 3)5$

$\implies 24x + 24=25x + 15$

 $\implies 24- 15=25x- 24x$

          $\implies x=9$