Question

answer plz by explanation​

Answer 1

The Numbers are:

x = 168

y = 96

Explanation:

Given :

• let the two numbers are in the ratio are $\sf \frac{x}{y} = \frac{7}{4}$
• let their differences are
• $\sf x - y\: = \:72$---- eqn (1)

Now by using...

$\sf \frac{x}{y} = \frac{7}{4}$

$\sf 4x \:=\: 7y$

$\sf y = \frac{4x}{7}$

❀ Substitute 'y' value in eqn (1)

$\sf x- \frac{4x}{7} = 72$

$\sf \frac{7x - 4x}{7} = 72$

$\sf \frac{3x}{7} = 72$

$\sf 3x = 504$

$\sf x = \frac{504}{3}$

$\sf x = 168$

❀ Now substitute 'x' value in eqn (1)

$\sf \: 168 - y = 72$

$\sf \sf y = 96$

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Verification:

$\sf x - y = 72$

$\sf 168 - 96 = 72$

$\sf 72 = 72$

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