Question

two numbers are in the ratio of 2:9 if they differ by 14 then find the number​

Answer 1

Answer:

Hope this is helpful. .....

Answer 2

$Let \: m \: and \: n \: are \: two \: numbers .$

$m : n = 2 : 9 \: ( given )$

$Let \: m = 2x\: --(1) \: and \: n = 9x \: --(2)$

$Difference \:of \: the \: numbers = 14$

$\implies 9x - 2x = 14$

$\implies 7x = 14$

$\implies x = \frac{14}{7}$

$\implies x = 2$

/* Substitute x = 2 in equations (1) and (2), we get */

$m = 2x \\= 2 \times 2 \\= 4$

$n = 9x \\= 9 \times 2 \\= 18$

Therefore.,

$\red{ Required \: two \: numbers \: are }\\\green { 4 \: and \: 18 }$

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