Question

plaz answer the question ​

Answer 1

Given :

• Ratio between two numbers is 9 : 5
• Their sum is 448

To Find :

• Find that two numbers.

Solution :

• Let assume that, One of the two numbers is x. And other one is y.

$\longrightarrow$ Now, According to The First Case

$\longrightarrow$ The ratio of two numbers is 9 : 5

$\longrightarrow$ Hence we can write like this,

• $\sf \frac{x}{y} = \frac{9}{5}$

• $\sf 5x = 9y$

• $\sf x = \frac{9y}{5}$

$\longrightarrow$ Now, According to The Second Case

$\longrightarrow$ Sum of two numbers is 448

So,

• x + y = 448

$\longrightarrow$ Now, here we can put the value of $\sf x = \frac{9y}{5}$

• x + y = 448

• $\sf \frac{9y}{5} + y = 448$

• $\sf \frac{9y + 5y }{5} = 448$

• $\sf \frac{14y}{5} = 448$

• $\sf 14y = 448 × 5$

• $\sf y = \frac{448 × 5}{14}$

• $\sf y = \frac{\cancel{448}^{\: \: \cancel{14} × 32 } × 5}{\cancel{14}}$

• $\sf y = 32 × 5$

• $\sf \underline {\fbox{ y = 160}}$

$\longrightarrow$ Now, For x

• $\sf x = \frac{9y}{5}$

• $\sf x = \frac{9(160)}{5}$

• $\sf x = \frac{9\: \: \cancel{(160)}^ { \: \: 32 × \cancel 5 }}{\cancel 5}$

• $\sf x = 9 × 32$

• $\sf \underline{\fbox{ x = 288}}$

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$\longrightarrow$ Hence, Two Numbers are 288 and 160.

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I hope it helps you ❤️✔️