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The sum of ages of A and B is now 110 years and their ages 20 years ago were in the

ratio 4 : 3. What is the age of A?

2
by kimchiu457

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ratio 4 : 3. What is the age of A?

by kimchiu457

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A + B=110

But 20 years ago,

A-20 + B-20 = 110-40

So we can say that,

A-20 + B-20 =4:3

and let the common multiple for 4:3 be x

4x +3x=110-40

7x =70

x =70/7

x =10

so,

4x=4*10=40=A-20

so,

40=A-20

60=A

X + Y =110

3X+3Y = 330

=

3X - 60 = 4Y - 80

3X - 4Y = - 20

3X+3Y = 330

3X - 4Y = - 20

--------------------

7Y = 350

Y = 50