Question

the sum of two number is 160 they are ratio 5:11 find the number step by step explanation
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Answer 1

Explanation:

In such type of questions first we have to suppose something. As here it's given number are in ratio of 5:11 .°. first we have to suppose 1 number as 5x and 2 number as 11x.Then it's given sum of 2 numbers is 160, so equation will form as follows: 5x+11x=160. From this equation we will able to find value of x. And then we can find 1 number by multiplying x by 5 and 2 number by multiplying x by 11.

Let's do it now!

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Question:

the sum of two number is 160 they are ratio 5:11 find the numbers.

To find?

• two number

Given:

• Sum of two numbers = x

• Two numbers are in ratio of 5:11

Let:

• 1 number be 5x
• 2 number be 11x

Answer:

Equation formed according to question:

$\sf{}5x + 11x= 160$

From this we can find value of x by which we can find value of numbers

$:\implies\sf{16x=160}$

$:\implies\sf{x=\dfrac{160}{16}}$

$:\implies\sf{x=\dfrac{{\cancel{160}}^{\:10}}{{\cancel{16}}^{\:1}}}$

$:\implies \star \boxed {\sf{x=10}}\star$

Let's verify whether values are correct or not?

Put value of x in this equation:

$\sf{}5x + 11x= 160$

$:\implies\sf{}5×10 + 11×10= 160$

$:\implies\sf{}50 + 110= 160$

$:\implies\star\boxed{\sf{}160= 160}\star$

$\bf{†\blue{Hence\: Verification}†}$

Now finally let's find value of each number:

To find 1 number:

As we have supposed 1 number as 5x.

$\therefore\bf{1\: number = 5×10}$

$:\implies\star\boxed{\bf{1 \:number =50}}\star$

To find 2 number:

As we have supposed 2 number as 11x

$\therefore\bf{2 \:number =11×10}$

$:\implies\star\boxed{\bf{2\: number=110}}\star$

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$\text{And all we are done!}$