Question

5a + 3b : 4a + 7b = 3 : 4 అయితే a : b
ఎంత?
1) 9 : 8 2) 7 : 11 3) 8 :9 4) 11 : 9​

Answer 1

Answer:

it's answer will be 9:8

Answer 2

Answer:

1) 9 : 8

Step-by-step explanation:

Given,

5a + 3b : 4a + 7b = 3 : 4

So, by comparing them we can write,

5a + 3b = 3 .....(1)

and 4a + 7b = 4  .......(2)

Now, by multiplying eq(1) by 4 and eq(2) by 5, we get

20a + 12b = 12......(3)

and  20a + 35b = 20 .......(4)

Subtract eq. (3) from (4),

23b=8

=> b=$\dfrac{8}{23}$

now put the value of b in eq (1), we get

a=$\dfrac{9}{23}$

so, $\dfrac{a}{b}=\frac{\dfrac{9}{23} }{\dfrac{8}{23} }$

Hence, a:b = 9:8