two numbers differ by 3 the sum of twise the smaller number and thrise the greater number is 19 find the number
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Step-by-step explanation:
let the two numbers be x and y such that x> y. so equation 1 is x-y = 3. so x = y + 3. equation 2 will be 2y + 3x = 19. replace the value of x in equation 2.
now we get
2y + 3 (y + 3) = 19
2y + 3y + 9 = 19
5y = 19 - 9
5y = 10
y = 10/5 = 2
so x = 2 + 3 = 5
Ans x = 5 and y = 2
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