Question

two number are in the ratio 5:7.ther sum is 84.find the number

Answer 1

$\boxed{\boxed{\mathbf{35, 49}}}$

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$\underline{\large\mathbf{Given :}}$

$\textsf{Two numbers are in ratio of}$$\mathsf{5:7}$

Their sum is $\mathsf{84}$

$\underline{\large\mathbf{To \: Find :}}$

$\mathsf{The \: 2 \: Numbers}$

$\underline{\underline{\huge\mathfrak{Solution :}}}$

Let the common ratio be $\mathbf{x}$

Then, the 2 Numbers are $\mathsf{5x \: and \: 7x}$

$\underline{Now,}$

$\mathsf{5x + 7x = 84}$

$\mathsf{=> 12x = 84}$

$\mathsf{=> x = \large{\frac{84}{12}}}$

$=> \boxed{\mathbf{ x = 7}}$

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$\underline{Now,}$

$\mathsf{5x = 5(7) = 35}$

$\mathsf{7x = 7(7) = 49}$

Hence, the numbers are $\mathbf{35}$ and $\mathbf{49}$
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$\Large\mathbf{\# \: Be \: Brainly}$

Answer 2

$\mathbb{\huge{\bold{Answer :-}}}$

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$\huge{\mathfrak{Given :-}}$

Two numbers are in the ratio 5 : 7

And the sum of the numbers is 84

$\huge{\mathfrak{To find :-}}$

The numbers.

$\huge{\mathfrak{Salutation :-}}$

Let the common ratio be a

So the numbers be 5a and 7a

Now , according to the question ,

5a + 7a = 84

[ °•° The sum of the numbers is 84 ]

12a = 84

a = 84 / 12

a = 7

So , the value of a is 7

Now , the numbers be ,

5a = 5 × 7 = 35

7a = 7 × 7 = 49 [ REQUIRED ANSWER ]

•°• Therefore , The numbers are 35 and 49


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