(3t-2)/3+(2t+3)/3=t+ 7/6
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cbsc board class 7 NCERT
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Answer:
(3t - 2)/3 + (2t + 3)/3 = t + 7/6
As denominators on left side are the same,
=> (3t - 2 + 2t + 3)/3 = t + 7/6
Taking L.C.M on right hand side,
=> (3t + 2t + 3 - 2)/3 = (6t + 7)/6
Now, multiply both sides by three. We get:
=> 3t + 2t + 3 - 2 = (6t + 7)/2
Now, Multiply both sides by two. So,
=> (5t + 1)2 = (6t + 7)
Now, open the brackets...
=> 10t + 2 = 6t + 7
=>( 10t + 2) + ( -2 ) = 6t + 7 - 2
=> 10t = 6t + 5
=> 10t - 6t = 6t + 5 - 6t
=> 4t = 5
Divide both sides by 4
=> t = 5/4
Therefore, t is equal to 5/4 (or) 1.25
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