Question

the number 299 is divided in to two parts in the ratio 5:8.the product of the number is

Answer 1

Let the product of number be x.  Now, according to the question x/288 = 5/8 Or, 8x = 288×5 Or, 8x = 1440 Or, x = 288/8 X = 140 Hope it will help you.....

Answer 2

Answer:

$\red { Product \: of \: the \: numbers }\green {= 21160 }$

Step-by-step explanation:

$Let \: the \: 299 \: is \: divided \: in \:to \:two \\ parts \:m\:and \: n$

$m : n = 5 : 8 \: ( given )$

$Let \: m = 5x , \: and \\n = 8x$

$m + n = 299 \: ( given )$

$\implies 5x + 8x = 299$

$\implies 13x = 299$

$\implies x = \frac { 299}{13 }$

$\implies x = 23$

$Now, \\ Product \: of \: numbers \\= m\times n \\= 5x \times 8x \\= 40x^{2}\\= 40 \times (23)^{2}\\= 40 \times 23 \times 23 \\= 21160$

Therefore.,

$\red { Product \: of \: the \: numbers }\green {= 21160 }$

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