Question

The ratio between two numbers is 4:5 and their sum is 540. The greater of the two number is?​

Answer 1

Answer:

${\pink{\green{\sf{\therefore First\:number=240}}}}$

${\pink{\green{\sf{\therefore Second\:number=300}}}}$

Step-by-step explanation:

$\huge{\pink{\green{\underline{\red{\sf{SOLUTION-}}}}}}$

》In the given question information given about two numbers which are different, their ratio is given and their Sum is given.

》We have to find both the numbers.

$\underline \bold{Given : } \\ \implies Let \:both\: number = x \\ \implies Ratio = 4 : 5 \\ \implies Sum = 540 \\ \\ \underline \bold{To \: Find : } \\ \implies Value \: of \: two \: numbers = ?$

》According to given question :

$\implies 4x + 5x = 540 \\ \implies 9x = 540 \\ \implies x = \frac{540}{9} \\ \bold {\implies x = 60} \\ \\ \bold{First \: number = 4x = 4 \times 60 = 240} \\ \bold{Second \: number = 5x = 5 \times 60 = 300}$

Answer 2

Answer:

❋ First number = 240

❋ Second number = 300

Step-by-step explanation:

$\bold{\underline {Given:}}$

⟹ Ratio = 4 : 5

⟹ Sum of both ratio = 540

$\bold{\underline {To \:Find:}}$

⟹ Value of both ratio =?

$\huge {\red{\boxed{SOLUTION⟹}}}$

Let ratio between the two numbers are ${</strong><strong>4</strong><strong>x}$ and ${</strong><strong>5</strong><strong>x}$.

$\Large\boxed{</strong><strong>According</strong><strong> </strong><strong>\</strong><strong>:</strong><strong>to</strong><strong>\</strong><strong>:</strong><strong> </strong><strong>question</strong><strong>⟹</strong><strong>}$

$⟹ {</strong><strong>4x</strong><strong> </strong><strong>+</strong><strong> </strong><strong>5x</strong><strong>} = {</strong><strong>540</strong><strong>}$

$⟹ {</strong><strong>9</strong><strong>x} = {540}$

$⟹ {</strong><strong>x} = </strong><strong>\</strong><strong>dfrac</strong><strong>{540}</strong><strong>{</strong><strong>9</strong><strong>}</strong><strong>$

$⟹ {</strong><strong>x} = {</strong><strong>60</strong><strong>}$

$\Large\boxed{</strong><strong>Hence</strong><strong>}$

First number $⟹ {</strong><strong>4</strong><strong>x} = {</strong><strong>4</strong><strong>*</strong><strong>60</strong><strong> </strong><strong>=</strong><strong> </strong><strong>240</strong><strong>}$

Second number $⟹ {</strong><strong>5</strong><strong>x} = {</strong><strong>5</strong><strong>*</strong><strong>60</strong><strong> </strong><strong>=</strong><strong> </strong><strong>300</strong><strong>}$

$\Large\boxed{</strong><strong>Verification</strong><strong>⟹</strong><strong>}$

Put the value of ${</strong><strong>x</strong><strong> </strong><strong>=</strong><strong> </strong><strong>60</strong><strong>}$ at the place of ${x}$.

$⟹ {4x + 5x} = {540}$

$⟹ {4 × 60 + 5 × 60} = {540}$

$⟹ {240 + 300} = {540}$

${</strong><strong>⟹</strong><strong>}$ 540 = 540

L. H. S= R. H. S

$\</strong><strong>small</strong><strong>{\pink{\green {\sf\boxed{</strong><strong> </strong><strong>Hence</strong><strong>\</strong><strong>:</strong><strong> </strong><strong>it</strong><strong>\</strong><strong>:</strong><strong> </strong><strong>is</strong><strong> </strong><strong>\</strong><strong>:</strong><strong>Verified</strong><strong>}}}}$

#Be_Brainly