Question

5.Find the value of x in each the following proportion (a) 27 : x= 63 : 84 (b) x : 92 = 87 : 116 (4)​

Answer 1

Step-by-step explanation:

(a) 27 : x = 63 : 84

$\frac{27}{x} = \frac{63}{84}$

$\frac{27}{x} = \frac{3}{4}$

$3x = 4 \times 27$

$3x = 108$

$x = \frac{108}{3}$

$x = 36$

The value of x is 36.

(b) x : 92 = 87 : 116

$\frac{x}{92} = \frac{87}{116}$

$116x = 87 \times 92$

$x = \frac{87 \times 92}{116}$

$x = 69$

The value of x is 69.