Page 50 - Math_Genius_V1.0_C8_Flipbook

E:\Working\Focus_Learning\Math_Genius-8\Open_Files\02_Chapter_2\Chapter_2
\ 06-Jan-2025 Bharat Arora Proof-7 Reader’s Sign _______________________ Date __________

2
y + 1 5
2. Find a positive value of y which satisfies the equation = .
2
y − 1 4
[Hint: First put y = x and then solve]
2
3. Present ages of Mohan and Gopal are in the ratio 4 : 5. Eight years from now the ratio of their ages will be
5 : 6. Find their present ages.
4. The ratio between the ages of A and B is 7 : 9. 9 years ago, their ages were in the ratio of 2 : 3. Find
their present ages.

5. The denominator of a rational number is greater than its numerator by 4. If the numerator is increased
7
by 11 and the denominator is decreased by 1, the new number becomes . Find the original number.
3
6. Half of herd of deer are grazing in the field and three-fourths of the remaining are playing nearby.
The remaining 9 are drinking water from the pond. Find the number of deer in the herd.

www
MAths connect
Shelter homes, also known as temporary
housing facilities, provide a safe place
for people in need. Delhi Urban Shelter
Improvement Board (DUSIB), has
established and operating 132 night
Shelters with all necessary infrastructure
facilities located across Delhi. The Hon’ble
Supreme Court of India, on 9th January,
2012 desired that shelter facilities be
provided to the relatives of indoor
patients and other patients currently
living in the pavements of the AIIMS. In
compliance to the orders of the Apex
Court, AIIMS Administration is providing
accommodation facilities to the patients
and their attendants.
Savita who is residing near AIIMS, Delhi
took some food packets in a bag and visited four shelters. At each shelter, she offered one-half of the total
number of food packets from the bag. If she was left with 5 food packets at the end, then find the number of
food packets she had at the beginning.
How can you help people in need? Mention one such instance. How did you feel about it?

Brain Sizzlers

Sadhana wanted her friend Surendra’s mobile number. But Surendra played a trick. He gave his number as
9 X Y Z P 1 Q 2 R 3
and told her to decode it with the help of following equations:
5X − 8 6Y − 7 1
1. = 1 2. =
4X 3Y + 9 3
Z − 9 5 P 5 15
3. =− 4. P + =
5 + Z 9 10 10
5. 5(Q + 4) = 6(Q + 2) 6. 4(R + 10) + 300 = 348
Help Sadhana in decoding and finding the Surendra’s mobile number.

Mathematics-8 48