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MATHEMATICS

JAMB 2020 - Question 11

Mathematics 2020 JAMB Past Questions - Question 11: The sum of two numbers is twice their difference . if the difference of the numbers is P find the larger of the two numbers

Choose the most appropriate option for the gap .

The sum of two numbers is twice their difference . if the difference of the numbers is P find the larger of the two numbers

A: p/2

B: 3p/2

C: 5p/2

D: 3p

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Correct Answer

Explanation

Let the number be x x y If X is greater than Y X + Y = 2 (x-Y) ………………..(i) X – y = p …………………………(ii)From equation (i) X + Y = 2x -2y 3y = xBut x = p + y Or y = x – p i.e x = 3 (x-P) x = 3x – 3p 3p =2x X = 3p /2