khatriganga234
khatriganga234 khatriganga234
  • 13-12-2021
  • Mathematics
contestada

The sum and difference of two positive numbers are 15 and 5 respectively. Find the numbers.​

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loneguy
loneguy loneguy
  • 13-12-2021

[tex]x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}[/tex]

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