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# If l + t = 4 and l + 3t = 9, then which one of the following equals

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Math Expert
Joined: 02 Sep 2009
Posts: 64096
If l + t = 4 and l + 3t = 9, then which one of the following equals  [#permalink]

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07 Apr 2019, 20:48
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15% (low)

Question Stats:

94% (01:25) correct 6% (01:42) wrong based on 18 sessions

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If $$l + t = 4$$ and $$l + 3t = 9$$, then which one of the following equals $$l + 2t$$?

(A) $$\frac{13}{2}$$

(B) $$\frac{19}{2}$$

(C) $$\frac{15}{2}$$

(D) $$\frac{17}{3}$$

(E) $$\frac{21}{4}$$

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Re: If l + t = 4 and l + 3t = 9, then which one of the following equals  [#permalink]

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07 Apr 2019, 21:17
l + t = 4

l + t + 2t = 9

4 + 2t = 9

2t = 5

t = $$\frac{5}{2}$$

l = $$\frac{3}{2}$$

l + 2t = $$\frac{3}{2} + 2 * \frac{5}{2}$$

= $$\frac{13}{2}$$

OPTION: A
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Re: If l + t = 4 and l + 3t = 9, then which one of the following equals  [#permalink]

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07 Apr 2019, 23:12
Bunuel wrote:
If $$l + t = 4$$ and $$l + 3t = 9$$, then which one of the following equals $$l + 2t$$?

(A) $$\frac{13}{2}$$

(B) $$\frac{19}{2}$$

(C) $$\frac{15}{2}$$

(D) $$\frac{17}{3}$$

(E) $$\frac{21}{4}$$

solve for $$l + t = 4$$ and $$l + 3t = 9$$
l=3/2 and t= 5/2
so $$l + 2t$$
IMO A ; $$\frac{13}{2}$$
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Joined: 04 Aug 2016
Posts: 8
Re: If l + t = 4 and l + 3t = 9, then which one of the following equals  [#permalink]

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07 Apr 2019, 23:57
Adding both the equation, we have 2l+4t=13
Dividing by 2,
We get l+2t=13/2

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Re: If l + t = 4 and l + 3t = 9, then which one of the following equals   [#permalink] 07 Apr 2019, 23:57