(a) Given that (7 -2x), 9, (5x + 17) are consecutive terms of a Geometric Progression (G. P) with common ratio, r>0, find the values of x. (b) Two positive ...

Assessment: WAEC SSCE - General Mathematics - 2022 (Essay) Subject: General Mathematics

Question 1 Report

(a) Given that (7 -2x), 9, (5x + 17) are consecutive terms of a Geometric Progression (G. P) with common ratio, r>0, find the values of x.

(b) Two positive numbers are in the ratio 3:4. The sum of thrice the first number and twice the second is 68. Find the smaller number.

Answer Details

 (a) r =97−2x

r = 5x+17−2x

97−2x
 = 5x+17−2x

9x9=(7-2x) (5x +17)

 81 = 35x + 119 - 10x2
 - 34x

10x2
 - x - 38

(x -2)(10x+19) = 0

x = 2,  x = 1910

x = 2

(b) Let the integers be x and y

x:y= 3:4

xy
 = 34 3 4

x = 3y4

3x + 2y=68

3( 34
y)+ 2y = 68

 94
y + 2y = 68

9y + 8y = 272

17y = 272

y= 16

x = 34
 * 16 →12

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