Question

if a:5=b:7=c:8 then a+b+c/a is equal to ​

Answer 1

Given,

a:5 = b:7 = c:8

To find,

The value of the expression (a+b+c)/a

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now,

a:5 = b:7 = c:8 = k

(We are assuming k as a constant to do the further mathematical calculations.)

Now,

a:5 = k b:7 = k c:8 = k

a = 5k b = 7k c = 8k

Now, putting the values of a,b, and c in the given expression,

= (a+b+c)/a

= (5k+7k+8k)/5k

= (20k)/5k

= 4

(The constant term is eliminated and we can take this as the final result.)

Hence, the value of the given expression is 4

Answer 2

SOLUTION

GIVEN

a : 5 = b : 7 = c : 8

TO DETERMINE

$\displaystyle \sf{ \frac{a + b + c}{a} }$

FORMULA TO BE IMPLEMENTED

RULE OF ADDENDO

If a : b = c : d then

$\displaystyle \sf{ \frac{a}{b} = \frac{c}{d} = \frac{a + c}{b + d} }$

EVALUATION

Here it is given that

a : 5 = b : 7 = c : 8

Which gives

$\displaystyle \sf{ \frac{a}{5} = \frac{b}{7} = \frac{c}{8} }$

Using the rule of ADDENDO we get

$\displaystyle \sf{ \frac{a}{5} = \frac{b}{7} = \frac{c}{8} = \frac{a + b + c}{5 + 7 + 8} }$

$\displaystyle \sf{ \implies \frac{a}{5} = \frac{b}{7} = \frac{c}{8} = \frac{a + b + c}{20} }$

$\displaystyle \sf{ \implies \frac{a}{5} = \frac{a + b + c}{20} }$

$\displaystyle \sf{ \implies \frac{a + b + c}{a} = \frac{20}{5} }$

$\displaystyle \sf{ \implies \frac{a + b + c}{a} = 4}$

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