Question

two numbers are in the ratio 3:8 if sum of the two numbers is 165. find the numbers and verify the answer also.​

Answer 1

Answer:

answer is 50

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Answer 2

$\sf \red \bigstar \: S \: O \: L \: U \: T \: I \: O \: N \: \red \bigstar$

Let the required number be 3x and 8x respectively.

Then, 3x + 8x = 165

$\\ : \implies \: \sf 11x = 165$

$: \implies \sf x = { {\dfrac{165}{11}} = 15 \: }$

$\\ : \implies \sf \: ∴ \: one \: number = 3 \times 15 = \red {\frak{45}}$

$\\ : \implies \sf \: ∴other \: number = 8 \times 15 = \pink{ \frak{120}}$

V E R I F I C A T I O N :

$\\ : \implies \: 45 : 120 = \dfrac{ \cancel{45}}{ \cancel{120}} = \dfrac{3}{8} = \green { \frak 3 : 8}$

$\\ \red \bigstar \orange {\frak {hence \: verified}} \red \bigstar$