Question

please solve this question fast​

Answer 1

$\huge\sf{\bold{\underline{Solution:}}}$

We have,

0.5x + x/3 = 0.25x + 7

= 5/10x + (x/3) = (25x/100) + 7

= x/2 + x/3 = x/4 + 7

Taking x/4 to L.H.S, we get,

= x/2 + x/3 - x/4 = 7

= (6x + 4x - 3x)/12 = 7

= 7x/12 = 7

Multiplying both sides by 12

= 7x/12 × 12 = 7 × 12

= 7x = 84

Dividing both sides by 7, we get

= 7x/7 = 84/7

= 84/7 = 12

= $\bold{x=12}$

$\huge\sf{\underline{\bold{Verification:}}}$

_______________________

Substituting x = 12,we get

= 0.5 × 12 + (12/3) = 0.25 (12) + 7

Now,

= 6 + 4 = 3 + 7

$\bold{10=10}$

Hence, verified!

Answer 2

$\large{\mathtt{\red{\underbrace{\overbrace{\blue{\boxed{\boxed{\pink{«Answer»}}}}}}}}}$

We have,

0.5x + x/3 = 0.25x + 7

= 5/10x + (x/3) = (25x/100) + 7

= x/2 + x/3 = x/4 + 7

Taking x/4 to L.H.S, we get,

= x/2 + x/3 - x/4 = 7

= (6x + 4x - 3x)/12 = 7

= 7x/12 = 7

Multiplying both sides by 12

= 7x/12 × 12 = 7 × 12

= 7x = 84

Dividing both sides by 7, we get

= 7x/7 = 84/7

= 84/7 = 12

= \bold{x=12}x=12