Question

two numbers differ by 3 the sum of twice the smaller number and thrice the number is 19 find the number​

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.