Question

Q2- Fill in the boxes.
a) 5/4 = 10/16 = 25/26
b) -3/7 = /14 = -9/0​ ans fast plz...

Answer 1

Correct question:

Fill in the boxes.

a) 5/4 = x/16 = 25/y

b) -3/7 = m/14 = -9/n

The values of x, y, m, and n are 20, 20, -6, and 21 respectively.

Given:

a) 5/4 = x/16 = 25/y

b) -3/7 = m/14 = -9/n

To Find:

The values of x, y, m, and n are?

Solution:

a) 5/4 = x/16 = 25/y

$\frac{5}{4} = \frac{x}{16}$

By cross multiplication, we get

⇒ 5 × 16 = 4x

⇒ 4x = 80

⇒ x = 80/4

∴ x = 20

$\frac{5}{4} = \frac{25}{y}$

⇒ 5y = 25 × 4

⇒ 5y = 100

⇒ y = 100/5

∴ y = 20

b) -3/7 = m/14 = -9/n

$\frac{-3}{7} =\frac{m}{14}$

⇒ -3 × 14 = 7m

⇒ 7m = -42

⇒ m = -42/7

∴ m = -6

$\frac{-3}{7} =\frac{-9}{n}$

⇒ -3n = -9 × 7

⇒ 3n = 63

⇒ n = 63/3

∴ n = 21

Hence, the values of x, y, m, and n are 20, 20, -6, and 21 respectively.

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