Question

If 2A = 3B = 4C, then A : B : C = ?
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Answer 1

• Given:

➜2A=3B=4C

• To find:

A : B : C =?

• Solution:-

Take the L.C.M of 2, 3, 4.

L.C.M of 2, 3, 4 is 12.

• Now:

Dividing both the sides by L.C.M 12.

$➜ \frac{2A}{12} = \frac{3B}{12} = \frac{4C}{12}$

$➜ \frac{A}{6} = \frac{B}{4} = \frac{C}{3}$

• Then, on comparing we get:

A : B : C = 6 : 4 : 3 (Answer)

• Hope it helps you ✔️

Answer 2

Step-by-step explanation:

$\huge\mathrm\star\fbox\red{Answer:-}\star$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$\huge\mathrm\star\fbox\red{Solution:-}\star$

$\leadsto$ $\Large\mathrm\purple{\boxed{Given:-}}$

$\leadsto$ $\mathrm\purple{2A\ =\ 3B\ =\ 4C}$

$\leadsto$ $\Large\mathrm\purple{\boxed{To\ find:-}}$

$\leadsto$ $\mathrm\purple{A\ :\ B\ :\ C\ ?}$

$\leadsto$ $\Large\mathrm\purple{\boxed{By,\ Solving:-}}$

$\leadsto$ $\mathrm\purple{Now\ dividing\ both\ sides\ with\ L.C.M\ of\ 2,\ 3,\ 4,\ i.e.,\ 12}$

$\leadsto$ $\Large\mathrm\purple{We\ get,}$

$\leadsto$ $\mathrm\purple{\dfrac{a}{6}\ =\ \dfrac{b}{4}\ =\ \dfrac{c}{3}}$

$\leadsto$ $\therefore$ $\mathrm\purple{So,\ a\ :\ b\ :\ c\ =\ 6\ :\ 4\ :\ 3.}$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$\Large\mathrm\star\fbox\red{Hence,\ Solved}\star$