Question

Find x if the terms are in proportion
(i) x : 5 :: 10 : 25
(ii) x : 7:: 30 : 35
(Answer in explanation)

Answer 1

Step-by-step explanation:

1)x:5::10:25

25×x=10×5

x=50\25

x=2

2)x:7::30:35

x×35=7×35

x=7

Answer 2

Given:

Terms are in proportion.

To Find:

Find x if the terms are in proportion

(i) x : 5 :: 10 : 25

(ii) x : 7:: 30 : 35

Solution:

We all know that if a, b, c, and  are in proportion then,

$\frac{a}{b} =\frac{c}{d}$

(i) $x : 5 :: 10 : 25$

or, $\frac{x}{5} =\frac{10}{25}$

or, $x=5*\frac{10}{25}$

or, $x=2$

The value of x is 2.

(ii) $x : 7:: 30 : 35$

or, $\frac{x}{7} =\frac{30}{35}$

or, $x=7*\frac{30}{35}$

or, $x=6$

The value of x is 6.