Question

Solve by substituting method
S_t=6
S/3+t/2=6

Answer 1

so s is 54/5 and t is 24/5

Answer 2

Hi...☺

Here is your answer...✌

GIVEN :

$s - t = 6 \: \: \: \: \: \: \: \: \: \: .....(1) \\ \\ \frac{s}{3} + \frac{t}{2} = 6 \: \: \: \: \: \: \: .....(2)$

From Eq (1)

s - t = 6

s = t + 6

Putting Value of s in eq(2)
We get,

$\frac{t + 6}{3} + \frac{t}{2} = 6 \\ \\ \frac{2 \times (t + 6) + 3 \times t}{6} = 6 \\ \\ 2t + 12 + 3t = 6 \times 6 \\ \\ 5t = 36 - 12 \\ \\ 5t = 24 \\ \\ t = \frac{24}{5}$

Putting value of t in eq(1)
We get,

$s - \frac{24}{5} = 6 \\ \\ s = 6 + \frac{24}{5} \\ \\ s = \frac{30 + 24}{5} \\ \\ s = \frac{54}{5}$

HENCE,

s = 54/5
t = 24/5