swapna is 25 years older than her daughter suma 6 years later swpna will be thrice as old as suma find their present ages
Answers
Answered by
0
Swaapna be x
Suma be y
X=y+25
X+6=( y+6)3
X+6=3y+18
Y+25+6=3y+18
2y =31-18
Y =6.5
Swapma =31.5 yrs
Suma =6.5yrs
Mark me brainliest
Answered by
1
Answer :
- Present age of suma is 18.5
- Present age of swapna is 43.5
Given :
- swapna is 25 years years older than her daughter
- Let the age of suma be x
- Let the age of swapna be x + 25
After 6 years :
- Let the Age of suma be x - 6
- Let the Age of swapna = (x + 25) - 6 = x + 25 - 6 = x + 19
Given,
6 years later swpna will be thrice as old as suma so,
- (x + 19) = 3(x - 6)
↬ (x + 19) = 3(x - 6)
↬ x + 19 = 3x - 18
↬ x - 3x = -18 - 19
↬ -2x = -37
↬ 2x = 37
↬ x = 37/2
↬ x = 18.5
Finding the present ages :
↬ Present age of suma = x = 18.5
↬ Present ages of swapna = x + 25 = 18.5 + 25 = 43.5
Hence,
- Present age of suma is 18.5
- Present age of swapna is 43.5
Verification :
↬ x + 19 = 3(x - 6)
↬ 18.5 + 19 = 3(18.5 - 6)
↬ 37.5 = 55.5 - 18
↬ 37.5 = 37.5
Hence , Verified
Similar questions