Find t- 1 - 2 t- 9 - 8 t-15

The correct option is B 120 / 13 LHS= 1 / 2 t+ 9 / 8 t #160; #160; #160; #160; #160; #160; #160; = 4t+9t / 8 = 13t / 8 ...

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Byju's Answer

Standard X

Mathematics

Sum of N Terms of an AP

Find t: 1 ...

Question

Find $t$ :
$\frac{1}{2} t + \frac{9}{8} t = 15$

\frac{- 120}{13}

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\frac{13}{120}

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\frac{- 13}{120}

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\frac{120}{13}

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Solution

The correct option is B $\frac{120}{13}$
$L H S = \frac{1}{2} t + \frac{9}{8} t$

$= \frac{4 t + 9 t}{8} = \frac{13 t}{8}$ ....Taking LCM

Now, according to the question,
$⟹ \frac{13 t}{8} = 15$

Multiplying $8$ on both sides, we get
$⟹ 13 t = 15 \times 8$

$⟹ 13 t = 120$

$∴ t = \frac{120}{13}$

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Find t:12t+98t=15

The correct option is B 12013LHS=12t+98t =4t+9t8=13t8 ....Taking LCM Now, according to the question, ⟹13t8=15Multiplying 8 on both sides, we get⟹13t=15×8⟹13t=120∴t=12013

Find $t$ :
$\frac{1}{2} t + \frac{9}{8} t = 15$