Math, asked by shivank8874, 7 months ago

the ages of sona and sonali are in the ratio 5 : 3 five years hence, the ratio of their ages will be 10 : 7 find their present ages plz dont spam plz plz plz plz ​

Answers

Answered by muhammadanshif954
1

Answer:

ages of sona and sonali 5 eg  3 = 18

after 5 years the age 10 eg  7 = 45

their present is 27:5

Step-by-step explanation:

see 5 eg 3 so we will curly we will just sinimize the left and add after we finish all we will mainas it

this is the correct answer 100% correct because i also get same question and i answer  

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Answered by Anonymous
10

Given :-

Ratio of the ages of Sona and Sonali = 5 : 3

Ratio of their ages five years later = 10 : 7

To Find :-

The present age of Sona.

The present age of Sonali.

Analysis :-

Consider the common ratio as a variable.

Make an equation accordingly.

Once you get the value of the variable, substitute it in the ratio of the present age given in the question.

Solution :-

Consider the common ratio as a variable. Then their present ages would be 5x and 3x years respectively.

Ages after 5 years,

Sona = 5x + 5 years

Sonali = 3x + 5 years

Making an equation,

5x + 5/3x + 5 = 10/7

7(5x + 5) = 10(3x + 5)

35x + 35 = 30x + 50

Taking like terms,

35x - 30x = 50 - 35

5x = 15

By transposing,

x = 15/5

x = 3

Finding their ages,

Present age of Sona = 5x

= 5 × 3 = 15 years

Present age of Sonali = 3x

= 3 × 3 = 9 years

Therefore, the present age of Sona and Sonali are 15 years and 9 years respectively.

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