Question

8. Two numbers are in the ration3:5. If the sum of the numbers is 248, the
numbers are ?​

Answer 1

GIVEN:

Ratio of the two numbers = 3:5

Sum of the two numbers = 248

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TO FIND:

The numbers.

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SOLUTION:

We are given that ration of the two numbers is 3:5.

So,

$\bigstar {\sf {\pink {Let\ the\ first\ number\ be\ 3x.}}}$

$\bigstar {\sf {\pink {Let\ the\ second\ number\ be\ 5x.}}}$

We are also given that sum of the numbers is 248.

So, the equation formed is:

3x + 5x = 248

8x = 248

$\sf {x = \dfrac{248}{8}}$

$\boxed {\sf {\red {x=31}}}$

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VERIFICATION:

On substituting the value of x as 31 in the equation,

3x + 5x = 248

3×31 + 5×31 = 248

93+155 = 248

248 = 248

LHS = RHS

Hence Verified!

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THE NUMBERS ARE:

• First number = 3x

= 3×31

= 93

• Second number = 5x

= 5×31

= 155

$\boxed {\sf {\orange {The\ two\ numbers\ are\ 93\ and\ 155}}}$

Answer 2

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Given:

• Ratio of two numbers = 3:5
• Sum of the two numbers = 248

What to do?

• We're asked to find the two numbers.

Solution:

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎Let the first number be $\mathrm{3x}$ and the second number be $\mathrm{5x}$.

So, now we can form an equation;

$\Large\underline{\boxed{\tt{\red{3x+5x=248}}}}$

Let's start solving the equation formed !

$\implies{\mathrm{3x + 5x = 248}}$

$\implies{\mathrm{8x = 248}}$

$\implies{\mathrm{x = \frac{248}{8}}}$

• $\Large\underline{\boxed{\tt{\purple{x=31}}}}$

Verification:

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎To verify, substitute 31 in places of 'x' in the equation formed.

$\implies{\mathrm{3x + 5x = 248}}$

$\implies{\mathrm{3 \times 31 + 5 \times 31 = 248}}$

$\implies{\mathrm{93 + 155 = 248}}$

$\implies{\mathrm{248 = 248}}$

$\bold{\implies L.H.S = R.H.S}$

• $\large{\underline{\underline{\tt{\blue{Hence,\: verified\:!}}}}}$

Answer:

$\large{\bold{\red{The\:two\:numbers:-}}}$

• The first number ${\sf{(3x)}}$:

$\longrightarrow{\mathrm{3\times31}}$

$\longrightarrow{\underline{\underline{\tt{\pink{93}}}}}$

• The second number ${\sf{(5x)}}$:

$\longrightarrow{\mathrm{5\times31}}$

$\longrightarrow{\underline{\underline{\tt{\pink{155}}}}}$

$\normalsize\bigstar\underline{\sf{Therefore,\:the\:two\:numbers\:are\:93\:and\:155.}}$

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