Solve x+5/2 + x-5/3 = 25/6
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Answered by
131
(x+5)/2 + (x-5)/3 = 25/6
Multiply both sides with 6,
{(x+5)/2 + (x-5)/3} ×6= { 25/6}×6
{(x+5)/2}×6 + {(x-5)/3} ×6= { 25/6}×6
3(x+5) + 2(x-5) = 25
3x +15 +2x -10 = 25
5x +5 = 25
5x = 25 -5 = 20
5x = 20
x = 20/5 = 4
hence x= 4
Multiply both sides with 6,
{(x+5)/2 + (x-5)/3} ×6= { 25/6}×6
{(x+5)/2}×6 + {(x-5)/3} ×6= { 25/6}×6
3(x+5) + 2(x-5) = 25
3x +15 +2x -10 = 25
5x +5 = 25
5x = 25 -5 = 20
5x = 20
x = 20/5 = 4
hence x= 4
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Answered by
31
x+5/2+x-5/3=25/6
x+x+5/2-5/3=25/6
2x+5/2-5/3=25/6
2x+5/2=25/6+5/3
l.c.m of 6,3=6
2x+5/2=25/6+30/6
2x+5/2=55/6
2x=55/6-5/2
l.c.m of 6,2=6
2x=55/6-30/6
2x=25/6
x=25/6x2
x=25/3
x+x+5/2-5/3=25/6
2x+5/2-5/3=25/6
2x+5/2=25/6+5/3
l.c.m of 6,3=6
2x+5/2=25/6+30/6
2x+5/2=55/6
2x=55/6-5/2
l.c.m of 6,2=6
2x=55/6-30/6
2x=25/6
x=25/6x2
x=25/3
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