Question

the present ages of sunita and smita are in the ratio 3:5.if sunita had been 4 years ol why is older and Smitha 4 years younger the age of Sunita would have been 3 times the age of smita find their present ages

Answer 1

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Answer 2

Hi friend
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Your answer
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SOLVING (BY METHOD OF SUBSTITUTION)
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Let Sunita's age be x and Smita's age be y.

According to the question,
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Equations
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x/y = 3/5....... (i)

x + 4 = 3(y - 4)........ (ii)

From equation (i), we get,
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x/y = 3/5

=> 3y = 5x

=> y = 5x/3...... (iii)

Now,
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From equation (iii), we get,
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x + 4 = 3(y - 4)

=> x + 4 = 3y - 12

=> x - 3y = - 12 - 4

=> x - (5x/3 × 3) = - 16 [ From (iii)]

=> x - 5x = - 16

=> - 4x = - 16

=> 4x = 16

=> x = 16/4

=> x = 4


Therefore,
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Sunita's age = x = 4 years

Smita's age = 5x/3 = (5× 4)/3 years = 20/3 years

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