Question

If $2a+4b=5$ and $a$ is equal to three times $b$, what is $3a$?

Answer 1

SOLUTION

GIVEN

• 2a + 4b = 5

• a is equal to three times b

TO DETERMINE

The value of 3a

EVALUATION

Here it is given that

2a + 4b = 5

Again a is equal to three times b

∴ a = 3b

So above gives

2a + 4b = 5

$\sf{ \implies \: (2 \times 3b) + 4b = 5}$

$\sf{ \implies \: 6b+ 4b = 5}$

$\sf{ \implies \:10b = 5}$

$\displaystyle \sf{ \implies \:b = \frac{5}{10} }$

$\displaystyle \sf{ \implies \:b = \frac{1}{2} }$

∴ a = 3b

$\displaystyle \sf{ =3 \times \frac{1}{2} }$

$\displaystyle \sf{ = \frac{3}{2} }$

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