The numerator of a fraction is 3 less than its denominator if two is added to both the numerator and denominator and the sum of the new fraction and original fraction is 29 by 30.find the original fraction
Answers
Step-by-step explanation:
jVOCABULARY
1. Choose the correctly spelt word:
(A) engineer (B) possive (C) pensil (D) doctres
2. Choose the misspelt word:
(A) professor (B) pupil (C) porridge (D) laughfer
3. Give the synonym of ‘pure’:
(A) satire (B) impure (C) sure (D) lure
4. Give the synonym of ‘sweet’:
(A) none
nonenone
(B) bitter (C) sour (D) of these
Answer:
85/328
Step-by-step explanation:
Let the numerator be x
therefore the denominator is x+3
therefore fraction=(x)/(x+3)
New fraction=(x+2)/(x+3+2)
Now,
(x+2)/(x+3+2)+(x)/(x+3)=29/30
(x+2)/(x+5) + (x)/(x+3)=29/30
{3(x+2)}+{5(x)}/{3(x+5)=29/30
3x+6+5x/3x+15=29/30
30(11x+6)=29(3x+15)
330x+180=87x+435
330x-87x=435-180
243x=255
x=255/243
Therefore Original fraction=
(255/243)/(255/243)+3
(255/243)/{(255+729)/243}
(255/243)/(984/243)
(255*243)/(984*243)
255/984
85/328