Math, asked by Dhanasanasigayansa, 1 year ago

At present the sum of Monic's age and her daughter's age is 44 yrs. After 2 yrs monica's age will be three - times that of her daughter's age. Find their present ages.

Answers

Answered by khanujarashmit
1
Let Monica age be x years And daughter age be u years According to qs x+y= 44 After two years ages vl be x+2 and y+2 According to qs (x+2)=3(y+2) Put x = 44-y (44-y)+2= 3y+6 -y-3y=-46+6 -4y=-40 Y=10 X=40
Answered by Anonymous
2

❅GIVEN:

  • The sum of present ages of Monica and her daughter = 44 years
  • After 2 years Monica age will be 3 times that of her daughter's age.

❅TO FIND:

  • What were their present ages = ?

❅SOLUTION:

Let, the present age of Monica be x yrs

and her daughter's age be y yrs

Now,

 \mathbb{ACCORDING  \: TO  \: QUESTION}

x + y = 44 ...........(i)

2 + x = 3(2 + y)

= 2 + x = 6 +3y ............(ii)

Now, in eq.(i)

 \sf \to x + y = 44

 \sf \to x  = 44 - y

Put the value of x in eq(ii) we got

 \sf  \to 2 + x = 6 + 3y

 \sf  \to 2 + (44 - y) = 6 + 3y

 \sf  \to 2 + 44 -y= 6 + 3y

collect like terms

 \sf  \to 2 + 44 -6=  3y + y

solve it

 \sf  \to 40=  4y

 \sf  \to y =  \frac{ \cancel{40}}{ \cancel{4}} = 10

substitute the value of y in eq(i) we get

 \sf \to x + y = 44

 \sf \to x + 10 = 44

 \sf \to x  = 34

Hence, Present age of Monica will be 34 years

and

Present age of Monica's daughter will be 10 years

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