Question

a/3=b/4=c/7 then what is the value of a+b+c/2

Answer 1

Step-by-step explanation:

a/3+b/4+c/7

lcm=84

28a+21b+12c/84

a+b+c=84/28+21+12

a+b+c=84/51

a+b+c=1.64

Answer 2

Step-by-step explanation:

Given:

$\frac{a}{3} = \frac{b}{4} = \frac{c}{7} \\ let \: \frac{a}{3} = \frac{b}{4} = \frac{c}{7} = x \\ \therefore \: \frac{a}{3} = x \implies \: a = 3x \\ \: \: \: \: \: \frac{b}{4} = x\implies \: b = 4x \\ \: \: \: \: \: \frac{c}{7} = x\implies \: c = 7x \\ Now \\ \frac{a + b + c}{2} = \frac{3x + 4x + 7x}{2} = \frac{14x}{2} = 7x\\</p><p>At \: x= 1\implies \frac{a + b + c}{2} =7\times 1= 7\\</p><p>At \: x= 2\implies \frac{a + b + c}{2} =7\times 2= 14\\Similarly, \:several\:values \:for \: \frac{a + b + c}{2} \: \\can\:be\:obtained$