the sun of two numbers is 43 if the larger is doubled and the smaller is tripled the difference is 36 find the two numbers
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Answered by
67
let the no. be X and Y
now
X + Y = 43 ..eq 1
2X - 3Y = 36 ...eq 2
from eq 1 we get X = 43 -Y
putting this value in eq 2
we get
2(43-Y) -3Y = 36
86 - 2Y -3Y = 36
-5Y = 36-86
Y = 10
hence putting value of Y in eq 1 we get
X = 43-10
X = 33
therefor two numbers are
X = 33
Y = 10
now
X + Y = 43 ..eq 1
2X - 3Y = 36 ...eq 2
from eq 1 we get X = 43 -Y
putting this value in eq 2
we get
2(43-Y) -3Y = 36
86 - 2Y -3Y = 36
-5Y = 36-86
Y = 10
hence putting value of Y in eq 1 we get
X = 43-10
X = 33
therefor two numbers are
X = 33
Y = 10
Answered by
21
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