Question

Sum of two numbers were given as 2490. If 6.5% of one number is equal to 8.5% of another number, then find the value of both the numbers.​

Answer 1

this is the ans above

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Answer 2

${\blue{\underline{\underline{\purple{\textsf{\textbf{Answer : }}}}}}}$

➙ The numbers are :

1. 1,079
2. 1,411

${\blue{\underline{\underline{\purple{\textsf{\textbf{Step-by-step explanation: }}}}}}}$

Given that,

• Sum of two numbers is 2490.
• 6.5% of one number is equal to 8.5% of another number.

Here, their sum is given as 2490

If we assume one number as ‘x’

Then, another number will be (2490 - x)

★ According to the question :

$\rm : \implies 8.5\% \: of \: x = 6.5\% \: of \: (2490 - x)$

★ Solving for ‘x’ :

$\rm : \implies \frac{8.5x}{100} = \frac{6.5}{100} (2490 - x)$

$\rm : \implies 8.5x = 6.5(2490 - x)$

$\rm : \implies 8.5x = 16185 - 6.5x$

$\rm : \implies 8.5x + 6.5x = 16185$

$\rm : \implies 15x = 16185$

$\rm : \implies x = \frac{16185}{15}$

$\rm : \implies x = 1079$

Therefore, value of ‘x’ is 1079

So, the numbers are :

➙ First number = 1,079

➙ Second number = (2490 - 1079) = 1,411