Question

Two numbers are in the ratio 9:16. If each number increased by 15, then the ratio becomes 2:3. The number are​

Answer 1

Step-by-step explanation:

{9x + 15}/ 16x + 15 = 2/3

27x + 45 = 32x + 30

5x = 15

x = 3

9x = 9×3 = 27

16x = 16×3 = 48

Answer 2

Step-by-step explanation:

If both the numbers are increased by 15 then the ratio becomes 2:3

So,

The equation formed is

$\boxed{\orange{\implies \frac{9+15}{16+15}= \frac{2}{3}}}$

⟹ 16+15

9+15 = 32

[By cross multiplication, we get]

⇒ 3 * (9x + 15) = 2 * (16x + 15)

⇒ 27x + 45 = 32x + 30

⇒ 45 - 30 = 32x - 27x

[By transporting 30 to LHS and 27x to RHS]

⇒ 15 = 5x

⇒ 15 ÷ 5 = x

[By taking 5 to LHS]

∴ The value of x is 3

Now,

The two numbers are

9x = 9 * 3 = 27

16x = 16 * 3 = 48

Two numbers = 27 and 48