Question

the difference between two whole number is 10 the ratio of the number is 2 ratio 3 what are the two numbers ​

Answer 1

Answer:

let the first no be 2x and second be 3x

there difference is 10 therefore

2x-3x=10

-x=10

x=-10

therefore first no. is 2x

=2(-10)

=-20

second no. is 3x

=3(-10)

=-30

thereforethe two numbers are -20 and -30

Answer 2

☯ Let their ratio be in term of x.

So, The two numbers are 2x and 3x.

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$\qquad\quad\boxed{\bf{\mid{\overline{\underline{\purple{\bigstar\: According\: to\: Question :}}}}}\mid}$

☯ Difference of the numbers is 18.

⠀

$:\implies\sf 2x - 3x = 10$

$:\implies\sf -1x = 10$

$:\implies{\boxed{\frak{\pink{x = -10}}}}\;\bigstar$

☯ Therefore, The required two numbers are,

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2x = 2 × (-10) = (-20)

3x = 3 × (-10) = (-30)

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$\therefore\;{\underline{\sf{Hence,\;the\;two\;numbers\;are\;-20\;and\;-30.}}}$

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$\qquad\qquad\qquad\boxed{\bf{\mid{\overline{\underline{\purple{\bigstar\: Verification :}}}}}\mid}$

We know that,

⠀

☯ Difference of the numbers is 10.

⠀

$:\implies\sf -20 - 30$

$:\implies{\boxed{\frak{x = 10}}}\;\bigstar$