1)the numerator of a fraction is 2 less than the denominator.if 1 is subtracted subtracted from both its numerator and denominator,it becomes 2/3. find the fraction.
2)Ranjana wanted to distribute 1000 ladoos to 470 children's on her birthday. she made small packets of ladoos for each child and was left with 60 ladoos.how many she put but in each packet?
Answers
Answer:
1) 5/7
2) 2 ladoos
Step-by-step explanation:
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Hey mate here is your answer.....
(i) Let the original fraction be x / y
Then, (x+1) / (y+1) = 2/3 (given)
So, 3x +3 = 2y +2
Or, 3x- 2y = 2–3 = -1
Or, 3x - 2y = -1. Eq.1
Also,
(x-1) / (y-1) = 1/2 (given)
So, 2x-2 = y-1
Or, 2x - y = -1 + 2 = 1
Or, 2x- y = 1 Eq. 2
Multiplying EQ. 2 by 2, we have:
4x - 2y = 2 Eq. 3
Subtracting EQ. 1 from EQ. 3, we get:
x=3
Substituting the value of x in EQ.1, we
get:
9- 2y = -1
Or, 2y = 9+1 = 10,
Or, y = 5.
So, the original fraction ( x / y ) is 3 / 5
Check:
Adding 1 to the numerator as well as
denominator of original fraction 3/ 5,
we get : (3+1) / (5+1)= 4 / 6 = 2/3 ✓
By subtracting 1 from the numerator as
well as denominator of the original
fraction 3 / 5, we get :
(3–1) / (5 - 1) = 2 / 4 = 1 / 2 ✓..
(ii) 2 ladoos.....
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