(0) Sum of two numbers is 60. The greater number is 8 more than thrice the smaller number. Find the numbers.
(u) The perimeter of an isosceles triangle is 24cm. The length of its congruent sides is 13cm less than twice the length of its base. Find the lengths of all sides of the triangle.
(iii) In a right angled triangle, one of the acute angle exceeds the other by 20º. Find the measure of both the acute angles in the right angled triangle.
(iv) A house has rectangular yard in front of it for children to play. The length of that rectangle exceeds its width by 6 m and its perimeter is 60 m, find the measurement of the yard.
(v) Seg AB is the diameter of a circle. C is the point on the circumference such that in A ABC, 2B is less by 10° than A. Find the measures of all
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Answer:
x+y= 60
3x+8= y
3x-y=8
x=13
x+y=60
13+y=60
y=60-13
y=47
therefore x and y= 13 , 47
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