If a b c 7 12 3a ndash 4b 5c 3 4 and 7a ndash 11b ndash 13c ndash 7 12 then what is the value of a c...........

Quantitative Aptitude (CGL) Algebra

Download Solution PDF

If a + b + c = 7/12, 3a – 4b + 5c = 3/4 and 7a – 11b – 13c = – 7/12, then what is the value of a + c?

1/2

5/12

3/4

1/4

छोटे Courses बड़े Results

Master Algebra

Prepare through Micro-courses

Try Now

Explanation:

4a+4b+4c=7/3 , 3a-4b+5c=3/4
adding 7a+9c=37/12
7a-11b-13c=-7/12,11a+11b+11c=77/12
adding ,18a-2c=70/12, 9a-c=35/12
we have
7a+9c=37/12 , and 9a-c=35/12
adding,
16a+8c=72/12=6
2a+c=6/8 , c=6/8–2a
we have,
9a-c=35/12 , 9a =35/12+6/8–2a
9a+2a=(70+18)/24, 11 a=88/24
a=1/3 ,c=6/8–(2×1)/3=2/24=1/12
c=1/12
a+c=1/3+1/12=5/12