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
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
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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.