Question

Let 3(t - 1) = 5( t - 2) then t=
A)7/2
B)2/7
C)3.5
D)Both A and C​

Answer 1

Answer :-

• $\sf\dfrac{7}{2}=3.5$

Solution :-

• Here Firstly we will open the bracket with multiplication according to BODMAS ruleand then so this for value of t

${}$

$\mapsto\sf{3(t-1)=5(t-2) }$

${}$

$\mapsto\sf{3t-3=5t-10}$

${}$

$\mapsto\sf{3t-5t=-10+3 }$

${}$

$\mapsto\sf{-2t=-7 }$

${}$

$\mapsto\sf{ t = \dfrac{-7}{-2}}$

${}$

$\mapsto\sf{t=\dfrac{7}{2}=3.5}$

${}$

So, option(d)is correct Value of t is 7/2 and 3.5

Answer 2

★ Given :

3(t - 1) = 5(t - 2)

★ To find :

the value of t

★ Solution :

$\implies \tt 3(t-1) = 5(t-2) \\ \\ \\ \implies \tt 3t - 3 = 5t - 10 \\ \\ \\ \implies \tt 5t - 3t = -3+10 \\ \\ \\ \implies \tt 2t = 7$

$\leadsto \pink{\therefore \: t = \frac{7}{2} = 3.5 }$

t = 7/2 and 3.5 (option A and option C)

Therefore , answer is option (D)