Question

two numbers are in the ratio 10: 3. if their different is 35, find the numbers.​

Answer 1

Step-by-step explanation:

10x-3x=35

7x=35

x=35/7

x=5

Number are

10x5=50

3x5=15

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Answer 2

AnswEr -:

• $\boxed {\sf{ The\:two\:number\:are\:50\:and\:15.}}$

Explanation-:

tex]\underline{\mathrm{Given-: }}[/tex]

• The two numbers are in ratio 10:3 .

• The difference between them is 35 .

$\underline{\mathrm{To\:Find-: }}$

• The numbers .

$\dag{\underline{\mathrm{Solution\:of\:Question-: }}}$

$\underline{\mathrm{Let's \:Assume\:-:}}$

• The two number be 10x and 3x .

Then ,

• First Number = 10 x

• Second number = 3x

• $\underbrace{\texttt{Understanding\:the\:Concept-: }}$

• The difference between number is 35 .

• Then ,

• $\longrightarrow {\sf{Equation \:Formed \:= 10x - 3x = 35 }}$

$\underline{\mathrm{Now\:, Solving\:for\:x \:in\:formed \:Equation \:-: }}$

• $\longrightarrow {\sf{ \:Formed \:Equation\:= 10x - 3x = 35 }}$

• $\longrightarrow {\sf{10x - 3x = 35 }}$

• $\longrightarrow {\sf{17x = 35 }}$

• $\longrightarrow {\sf{x = \dfrac{\cancel{35}}{\cancel{7}} }}$

• $\longrightarrow {\sf{x = 5 }}$

$\underline{\mathrm{Therefore-: }}$

• $\boxed {\mathrm{x = 5 }}$

• Putting x = 5 -:

• First Number = 10 x = 10 × 5 = 50

• Second number = 3x = 3 × 5 = 15

$\underline{\mathrm{Hence-: }}$

• $\boxed {\sf{ The\:two\:number\:are\:50\:and\:15.}}$

_____________________________________

$\huge{\mathrm{Verification♡ -: }}$

• $\longrightarrow {\sf{ \:Formed \:Equation\:= 10x - 3x = 35 }}$

• Here -:

• $\longrightarrow {\sf{x = 5 }}$

Putting x = 5 in Equation-:

• $\longrightarrow {\sf{ \:Formed \:Equation\:= 10x - 3x = 35 }}$

• $\longrightarrow {\sf{10 \times 5 - 3 \times 5 = 35 }}$

• $\longrightarrow {\sf{50 - 3 \times 5 = 35 }}$

• $\longrightarrow {\sf{50 - 35 = 35 }}$

• $\longrightarrow {\sf{35 = 35 }}$

Therefore,

• $\longrightarrow {\sf{LHS = RHS }}$

• $\longrightarrow {\sf{Hence,\: Verified }}$

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