Find the sum of a-2-b-3-c-4 -2 a-3-3 b-4-4 c-5 and a-b-c -A- 3-6 a -25-2 b -1-20 CB- 13-6 a -25-12 b -1-2 cC- 13-6 a -5-12 b -1-20 cD- 13-6 a -25-12 b -1-20 c

The correct option is D 13/6a+25/12b 1/20c(a/2+b/3 c/4) +(2a/3+3b/4 4c/5) nbsp; + (a+b+c) Grouping the like terms together, = ( a/2+2a/3+a )+(b/3+3b/4+b ...

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Byju's Answer

Standard VII

Mathematics

Addition of Algebraic Expression

Find the sum ...

Question

Find the sum of $(\frac{a}{2} + \frac{b}{3} - \frac{c}{4}); (\frac{2 a}{3} + \frac{3 b}{4} - \frac{4 c}{5})$ and $(a + b + c)$ ?

\frac{3}{6} a + \frac{25}{2} b - \frac{1}{20} c

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\frac{13}{6} a + \frac{5}{12} b - \frac{1}{20} c

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\frac{13}{6} a + \frac{25}{12} b - \frac{1}{20} c

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\frac{13}{6} a + \frac{25}{12} b - \frac{1}{2} c

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Solution

The correct option is C $\frac{13}{6} a + \frac{25}{12} b - \frac{1}{20} c$
$(\frac{a}{2} + \frac{b}{3} - \frac{c}{4}) + (\frac{2 a}{3} + \frac{3 b}{4} - \frac{4 c}{5}) + (a + b + c)$

Grouping the like terms together,
$= (\frac{a}{2} + \frac{2 a}{3} + a) + (\frac{b}{3} + \frac{3 b}{4} + b) + (\frac{- c}{4} - \frac{4 c}{5} + c)$

Adding all the like terms,
$= \frac{3 a + 4 a + 6 a}{6} + \frac{4 b + 9 b + 12 b}{12} + \frac{- 5 c - 16 c + 20}{20}$

$= \frac{13}{6} a + \frac{25}{12} b - \frac{1}{20} c$

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Find the sum of (a2+b3−c4);(2a3+3b4−4c5) and (a+b+c)?

The correct option is C 136a+2512b−120c(a2+b3−c4)+(2a3+3b4−4c5)+(a+b+c) Grouping the like terms together, =(a2+2a3+a)+(b3+3b4+b)+(−c4−4c5+c) Adding all the like terms, =3a+4a+6a6+4b+9b+12b12+−5c−16c+2020 =136a+2512b−120c

Find the sum of $(\frac{a}{2} + \frac{b}{3} - \frac{c}{4}); (\frac{2 a}{3} + \frac{3 b}{4} - \frac{4 c}{5})$ and $(a + b + c)$ ?