Math, asked by harshil05, 1 year ago

if twice the son's age in years is added to the age of hus father the sum is 90. if the father's age in years is added to the age of the son, the sum is 120.find their ages​

Answers

Answered by Anonymous
2

Step-by-step explanation:

Let the ages of father and son be 'x' and 'y' years.

From first condition

x+2y=90...(1)

From second condition

2x+y=120...(2)

Adding eqs(1) and (2).

3x+3y=210

3(x+y)=210

x+y=210/3=70...(3)

Subract eq(1) from eq(2)

x-y=30...(4)

Add eqs(3) and (4)

2x=100

x=100/2=50

substitute x=50 in eq(3)

50+y=70

y=70-50=20.

Therefore present ages of father and his son are 50 and 20 years respectively.

Answered by sarita1942
0

Answer:

let the age of the son be = x

let the age of the father be=y

according to question,

2x+y=90 eq 1

x+y=120 eq 2

solving eq 2

x=120-y

substituting the value of x in eq 1

2(120-y)+y=120

240-2y+y=120

240-y=120

-y=120-240

-y=-120

y=120

substituting the value of y in eq 2

x+120=120

x=0

therefore the age of father = y=120

age of son=x=0

I think question is wrong

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