Question

two numbers are in the ratio 3:4.if 4 is added to both of them the sum ratio becomes 5:6.find the sum of numbers​

Answer 1

Answer:

Your answer is in the picture

Answer 2

Answer:

Sum of the numbers are 14

Step-by-step explanation:

Two numbers are in ratio 3:4

The number be x

So, we can write it as   $\frac{3x}{4x}$

4 is added to both of them

The equation will become    $\frac{3x+4}{4x+4}$

The sum ratio becomes 5:6

So, the equation will be

 $==> \frac{3x+4}{4x+4}=\frac{5}{6}$

Cross multiply the numbers on both the sides

The equation becomes

 $==>6(3x+4)= 5(4x+4)$

In RHS, Multiply 6 in the equation.

 $==>18x+24= 5(4x+4)$

In LHS, Multiply 5 in the equation

$==>18x+24= 20x+20$

Taking x values one side and constant values another side

$==>24-20= 20x-18x$

$==>20x -18x= 24-20$

$==>2x= 4$

$==>x=2$

The numbers are 3x:4x

Substitute x in the ratio

The numbers are 3(2):4(2)

The numbers are 6:8

If the 4 is added to 6 and 8

The number become 10 and 12

10:12= 5:6

Sum of the numbers are

==> 6+8

Sum of the numbers are 14