Question

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
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Answer 1

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 2

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.