Question

If thrice the daughters age in years is added to the mothers age the sum is 62. If thrice the mothers age is added to the daughters age the sum is 122. Find the age of mother and daughtet

Answer 1

See the attachment for detail solution
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Answer 2

Answer:

Let fathers age be x years and sons age be y years.

Then, as per the given statement form an equation

3y+x=60 ----- (1)

2x+y=80 ------ (2)

From equation (1)

3y=60−x

y=  

3

(60−x)

​

 

Put the value of y in equation (2)

2x+  

3

(60−x)

​

=80

6x+60−x=240

x=36

So, the fathers age is 36 years.