Question

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

Answer 1

hye


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let the number be x and y 

=>Two numbers differ by 3


=>y = x - 3.......[1]

=>The sum of twice the smaller numberand thrice the greater number is 19

here the smaller ones is y and bigger is x as [x  = y+3]

=>so lets form an euqtaion


=>2y +3x = 19......................[2]



now lets substitue [1] in [2]

=>2y +3x = 19

=> 2(x - 3) +3x = 19

=>2x -6 +3x = 19

=>5x  - 6 = 19


=>5x = 19+6


=>5x = 25

=>x= 25/5

=>x= 5

x is 5

since y = x -3


=>5 - 3

=>2

∴∴the two numbers are  5 and 2


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hope it helps u..............