Question
Two numbers are such that if 12 is subtracted from each,
the resulting numbers are in the ratio 7 : 9. If the sum of the original numbers is 216, find the numbers.Solution
Let the numbers be x and y. Given: (x − 12) : (y − 12) = 7 : 9 ⇒ (x − 12)/(y − 12) = 7/9 ⇒ 9(x − 12) = 7(y − 12) ⇒ 9x − 108 = 7y − 84 ⇒ 9x − 7y = 24 …(1) Also, x + y = 216 …(2) From (2): x = 216 − y Substitute into (1): 9(216 − y) − 7y = 24 1944 − 9y − 7y = 24 1944 − 16y = 24 16y = 1944 − 24 = 1920 y = 1920 / 16 = 120 Then x = 216 − 120 = 96 Answer: The numbers are 96 and 120
Rhizobium plays important role in ...
The development of embryo from egg cell without fertilization is referred as:
Which of the following is known as fertilizer tree?
Loose smut of wheat is caused by
Trichogramma spp acts as:
The Phenomenon of inheritance of linked genes in same linkage group is called as
The branch of Horticulture that deals with the cultivation of vegetables is called
The use of tensiometer is confined up to metric potential of
Biting and Chewing type of mouth parts are present in:
In rice, 'Dee-geo-woo-gen' is a source of
Relevant for Exams:
