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.
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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
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❅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,
x + y = 44 ...........(i)
2 + x = 3(2 + y)
= 2 + x = 6 +3y ............(ii)
Now, in eq.(i)
Put the value of x in eq(ii) we got
collect like terms
solve it
substitute the value of y in eq(i) we get
Hence, Present age of Monica will be 34 years
and
Present age of Monica's daughter will be 10 years
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