Question

in the equation ( 2a+3)/ 7 is equal to 4a/5, the value of a is ​

Answer 1

Answer: (a = 5/6)

Given:

$\implies \dfrac{2a+3}{7} = \dfrac{4a}{5}$

To find:

The value of 'a'

Solution:

Cross multiplying the above, we get:

→ ( 2a + 3 ) ( 5 ) = ( 4a ) ( 7 )

→ 10a + 15 = 28a

→ 15 = 28a - 10a

→ 15 = 18a

→ a = 15/18

→ a = 5/6

Hence the value of 'a' is  5/6.

Verification:

$\implies \dfrac{ 2 \times (5/6) + 3 }{7} = \dfrac{4\times(5/6)}{5}\\\\\\\implies \dfrac{(5/3) + 3}{7} = \dfrac{(10/3)}{5}\\\\\\\implies \dfrac{(14/3)}{7} = \dfrac{(10/3)}{5}\\\\\\\implies \dfrac{14}{21} = \dfrac{10}{15} \implies \dfrac{2}{3}$

Hence LHS = RHS

Hence verified!!

Answer 2

Answer:

Given :-

$\mapsto$ $\dfrac{2a + 3}{7}$ = $\dfrac{4a}{5}$

To Find :-

$\mapsto$ What is the value of a.

Solution :-

➲ $\dfrac{2a + 3}{7}$ = $\dfrac{4a}{5}$

By doing cross multiplication we get,

⇒(2a + 3)(5) = (7)(4a)

⇒ 10a + 15 = 28a

⇒ 15 = 28a - 10a

⇒ 15 = 18a

⇒ a = $\sf\dfrac{\cancel{15}}{\cancel{18}}$

⇒ a = $\dfrac{5}{6}$

$\therefore$ The value of a is $\boxed{\bold{\small{\dfrac{5}{6}}}}$

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