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Asked by Mohammad Last Modified
Answer 
Tasneem
(i) Let one number be x and the other number be y such that y > x.
According to the question:
Substituting the value of y in the (i), we get,
Substituting this in equation (1), we obtain
y = 39
Hence, the numbers are 13 and 39.
(ii) Let the larger angle be x and smaller angle be y.
We know that the sum of the measures of angles of a supplementary pair is always 180º.
According to the given information, 
From (1), we obtain
x = 180º - y (3)
Substituting this in equation (2), we obtain
,
Putting this in equation (3), we obtain
x = 180º - 81º
= 99º
Hence, the angles are 99º and 81º.
(iii) Let the cost of a bat and a ball be x and y respectively.
According to the question,
From (i), we get,
Substituting this in (ii), we get
Substituting this (iii),
Hence, the cost of a bat is Rs 500 and that of a ball is Rs 50.
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