Exam Maths Puzzle Number System

the sum of two numbers in 9. the difference between five times of the first and four times of the second is 9. what are that numbers?

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Exam Other Question

How to know whether two lines are intersecting or not without drawing them on the graph, when we know their start and end points?



Suppose if AB is a line with A(2,1) and B(6,5) and CD is another line with C(3,4) and D(5,2). If we Draw these two lines on the 2D Graph then these two will intersect. But how could i know that these two lines are going to intersect or not without drawing the line on the 2D Plane?



I will be very thankful to you if u can solve my query and suggest me any other links regarding this. Thanks inadvance. Hoping the earliest reply.
A ladder of length 15 ft is placed against a building in such a way that the distance from the top of the ladder to the ground is 12ft. Find the distance from the bottom of the ladder to the building.





The length of a rectangular frame is 7 cm more than the width. the area inside the frame is 98 square cm. Find the width of the frame.



PLEASE HELP !!