Question

Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. The numbers are

 a) 3, 6

 b) 5, 8

 c) 5, 2

 d) 8, 11

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Answer 1

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

According to the first condition, x – y =3 (i) According to the second condition, 3x + 2y =19 (ii) Multiplying equation (i) by 2, we get

2x – 2y = 6

(iii) Adding equations (ii) and (iii), we get Substituting x = 5 in equation (i), we get 5 – y = 3 ∴ 5 – 3 = y ∴ y = 2 ∴ The required numbers are 5 and 2. option c is correct answer

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Answer 2

c.) 5,2

explained above ☝️☝️☝️

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