If 2a-3b-4c- then a-b-c- - Maths - Q-A

Step 1: Find L.C.M. of 2,3,4.Given : 2a=3b=4c2 can be written as=2× 13 can be written as=3× 14 can be written as=2× 2 L.C.M. of 2,3,4 =2× 2× 3 L.C.M. of 2,3,4 ...

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Standard VIII

Mathematics

Solving Equations with Variables on Both Sides

If 2a=3b=4c, ...

Question

If $2 a = 3 b = 4 c$ , then $a : b : c$ ?

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Solution

Step $1$ : Find L.C.M. of $2, 3, 4$ .
Given : $2 a = 3 b = 4 c$
$2$ can be written as $= 2 \times 1$
$3$ can be written as $= 3 \times 1$
$4$ can be written as $= 2 \times 2$
L.C.M. of $2, 3, 4$ $= 2 \times 2 \times 3$
L.C.M. of $2, 3, 4$ $= 12$
Step $2$ : Divide with the L.C.M.
$2 a = 3 b = 4 c \Rightarrow \frac{2 a}{12} = \frac{3 b}{12} = \frac{4 c}{12} \Rightarrow \frac{a}{6} = \frac{b}{4} = \frac{c}{3}$
Hence, $a : b : c = 6 : 4 : 3$

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If 2a=3b=4c, then a:b:c?

Step 1: Find L.C.M. of 2,3,4.Given : 2a=3b=4c2 can be written as=2×13 can be written as=3×14 can be written as=2×2 L.C.M. of 2,3,4 =2×2×3 L.C.M. of 2,3,4 =12Step 2: Divide with the L.C.M.2a=3b=4c⇒2a12=3b12=4c12⇒a6=b4=c3Hence, a:b:c=6:4:3

If $2 a = 3 b = 4 c$ , then $a : b : c$ ?