Math, asked by mariyahmanzer1254, 3 months ago

the ration of ages abha and her mother is 2:5 at the time of abha birth her mother s age was 27 yr find the present ages of abha and her mother?

Answers

Answered by vaishnavi2005
0

Step-by-step explanation:

let the age be X and the present years from her birth be y

hence,27+y=5x. _(1)

0+y=2x. _(2)

on substracting equation 2 from 1 we get,

(27+y =5x)-(0+y=2x)

27=3x

X=9

therefore the present age of abba is 2x =2×9

18 years

and the present age of her mother is 5x =5×9

45 years

Answered by SachinGupta01
6

 \bf \:  \underline{Given }:

 \sf \: Ratio \: of \: ages \: of \: Abha \: and \: her \: mother \: is \: 2:5

 \sf \: At \: the \: time \: of \: Abha's \: birth \: her \: mother's \: age \: was \: 27 \: Years.

 \bf \:    \underline{To \:  find }:

 \sf \: We \: have \: to \: find \: the  \: present \: age \: of \: Abha \: and \: her \: mother.

  \bf \red{\star} \:  \underline{So,  \: Let's \:  Start }  \:  \red{\star}

 \sf \: Let \: the \: Abha's  \: age \:  be  \: 2x  \: and \: her \: mother's \: age \: be \: 5x.

It's given that at the time of Abha's birth, her mother's age was 27 years. So here we need to subtract both the values (ratio of Abha and her mother's age) and find the value of x.

 \sf \: Now,

 \sf \: \longrightarrow 5x - 2x = 27  \: years

 \sf \: \longrightarrow 3x = 27

 \sf \: \longrightarrow \: x =  \dfrac{27}{3}

 \sf \: \longrightarrow x = 9  \: years.

 \underline{ \sf \: Now, \: we \: will \: find \: there \: present \: ages.}

 \sf \: Present \: age \: of \: Abha : 2 \times 9

 \red{ \sf \: So, \: Abha's \: present \: age = 18 \:  Years. }

 \sf \: Present \: age  \: of \:  Abha's \:  mother : 5 \times 9

 \red{ \sf \: So,  \: present  \: age  \: of \:  her  \: mother  \: = 45 \:  Years.}

\sf \underline{ Let's  \: verify  \: our \:  answer}..

 \boxed{ 1. }\longrightarrow  \: 45 - 18 = 17

 \boxed{ 2. }\longrightarrow  \: 18:45 = 2 : 5

 \sf \: Hence \:  our \:  answer \:  is  \: correct.

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