Question

if a : b = 3:4 then find 3a+4b/4a-b​

Answer 1

3(3)+4(4)/4(3)-4

=9+16/12-4

=25/8

Answer 2

The value of 3a+4b/4a-b is 25/8.

Given - a : b = 3:4

Find - Value of 3a+4b/4a-b

Solution - Converting the given ratio in the form of a.

$a = \frac{3b}{4}$

Keep the value of a in given expression.

Value = $\frac{3 \times \frac{3b}{4} + 4b}{4 \times \frac{3b}{4} - b}$

Value = $\frac{ \frac{9b}{4} + 4b}{3b - b}$

Value = $\frac{ \frac{9b + 16b}{4} }{2b}$

Value = $\frac{25b}{4 \times 2b}$

Value = $\frac{25b}{8b}$

Value = 25/8

Hence, the value of 3a+4b/4a-b is 25/8.

#SPJ3