Question

2 upon 3 x is equal to 3 upon 8 x + 7 upon 12

Answer 1

Given:

$\dfrac{2}{3} x=\dfrac{3}{8} x+\dfrac{7}{12}$

We have to find, the value of x is:

Solution:

∴ $\dfrac{2}{3} x=\dfrac{3}{8} x+\dfrac{7}{12}$

⇒ $\dfrac{2}{3} x-\dfrac{3}{8} x=\dfrac{7}{12}$

⇒ $\dfrac{16x-9x}{24} =\dfrac{7}{12}$

⇒ $\dfrac{7x}{24} =\dfrac{7}{12}$

Multiplying both sides by 24, we get

7x = 7 × 2

⇒ 7x = 14

⇒ x = $\dfrac{14}{7}$

⇒ x = 2

∴ The value of x = 2

Thus, the value of "x is equal to 2".