Question

two numbers are in the ratio 5:6 if 8 is added to both their ratio changes to 7:8 find the sum of the two numbers ​

Answer 1

$\huge\mathfrak{Answer :}$
Let the two no be x and y

therefore x / y = 5 / 6

6 * x = 5 * y

6 * x - 5 * y = 0             * 5

    30 * x -     25 * y = 0 ..................(i)

also (x - 8)/(y - 8) = 4 / 5

5 * x - 40 = 4 * y - 32

5 * x - 4 * y - 8 = 0                 *6

30 * x - 24 * y - 48 = 0 .....................(ii)

subtracting  (i) from (ii)

y - 48 = 0

y = 48

putting y = 48 in x/y = 5/6

x/48 = 5/6

x = 5 * 48 / 6

x = 5 * 8

x = 40
$<b>$
therefore the two numbers are 40 and 48 .

Answer 2

I hope you understand....