Question

The ratio of meena's age to the age of her mother is 3:8 the difference oh their ages is 35 years .the ratio of their ages after 4 years will be

Answer 1

meena age/ her mother age=5/12

Answer 2

$\underline {\blue { At \: present : }}$

$Ratio \:of \: Meena's \:age \:and \: age \:of \\her \:mother = 3 : 8 \:(given)$

$Let \: Meena's \:age = 3x$

$Let \: Meena's \: mother's\:age = 8x$

/* According to the problem given */

$Difference \: of \: their \:ages = 35 \: years$

$\implies 8x - 3x = 35$

$\implies 5x = 35$

/* Dividing both sides by 5 , we get */

$\implies x = 7 \: --(1)$

$\underline {\orange { After\:4 \: years : }}$$Meena's \:age = (3x + 4 ) \: years$

$Her \: mother's \:age = (8x + 4 ) \: years$

$Now, Ratio \:of \: their \:ages \\= \frac{3x+4}{8x+4} \\= \frac{3\times 7 + 4}{8\times 7 + 4}\: [From \:(1) ]$

$= \frac{21+4}{56+4} \\= \frac{25}{60}\\= \frac{5}{12}$

Therefore.,

$\red { Required \:ratio \: of \: their \:ages }\green {= 5 : 12 }$

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