The age of Suman and Neelati me in the ratio 3:4,4 yearsago, their ages were in the ratio 5:7 Find the age
Answers
EXPLANATION.
Let the age of suman and neelati in the
ratio = 3:4.
=> Let the age of suman = x
=> Let the age of neelati = y
=> x/y = 3/4
=> 4x = 3y
=> 4x - 3y = 0 ....(1)
4 years ago, their ages were in the ratio
=> 5:7
Let the present age of suman = ( x - 4 )
Let the present age of neelati = ( y - 4 )
=> ( x - 4 ) / ( y - 4 ) = 5/7
=> 7 ( x - 4 ) = 5 ( y - 4 )
=> 7x - 28 = 5y - 20
=> 7x - 5y = 8 ...... (2)
From equation (1) and (2) we get,
=> 4x - 3y = 0 ..... (1)
=> 7x - 5y = 8 ....... (2)
multiply equation (1) by 5
multiply equation (2) by 3
we get,
=> 20x - 15y = 0
=> 21x - 15y = 24
we get,
=> x = 24
put the value of x = 24 in equation (1)
we get,
=> 4(24) - 3y = 0
=> 96 = 3y
=> y = 32
Therefore,
present age of suman = x = 24 years.
present age of neelati = y = 32 years.
Answer:
Present age of Suman is 24 years and Neelati is 32 years.
Step-by-step explanation:
Assume that the present age of Suman be 3x and Neelati be 4x.
4 years ago, their ages were in the ratio 5:7.
4 years ago:
- Age of Suman = (3x - 4) years
- Age of Neelati = (4x - 4) years
As per given condition,
→ (3x - 4)/(4x - 4) = 5/7
→ 7(3x - 4) = 5(4x - 4)
→ 21x - 28 = 20x - 20
→ x = 8
Therefore,
Age of Suman = 3x = 3(8) = 24 years
Age of Neelati = 4x = 4(8) = 32 years
Hence, the present age of Suman is 24 years and Neelati is 32 years.