Question

Plese help plaese help​

Answer 1

Step-by-step explanation:

Question :-

Sum of 2 numbers is 80 and their ratio is 9:11. Find those numbers.

Solution :-

Let's take the number be x

According to question,

${\bold{\sf{ ➭ \: \: \: \: \: \: \: \: \: \: 9x \: + \: 11x \: = \: 80}}}$

${\bold{\sf{ ➭ \: \: \: \: \: \: \: \: \: \: 20x \: = \: 80}}}$

${\bold{\sf{ ➭ \: \: \: \: \: \: \: \: \: \: x \: = \: \frac{80}{20}}}}$

${\bold{\sf{ ➭ \: \: \: \: \: \: \: \: \: \: x \: = \: 4}}}$

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Let's calculate the numbers,

${\bold{\sf{ ➭ \: \: \: \: \: \: \: \: \: \: 9x \: = \: 4 \: × \: 9}}}$

$\: \: \: \: \: \: \: \: \: \: {\bold{\mathfrak{\fbox{\pink{9x \: = \: 36}}}}}$

${\bold{\sf{ ➭ \: \: \: \: \: \: \: \: \: \: \: 11x \: = \: 4 \: × \: 11}}}$

$\: \: \: \: \: \: \: \: \: \: \: {\bold{\mathfrak{\fbox{\pink{ 11x \: = \: 44}}}}}$

Verifying the answer,

➤ 36 + 44 = 80