Question

Two numbers are in the ratio 5:6. If 8
is subtracted from each of the numbers,
the natio becomes 4:5. find the numbers.​

Answer 1

✵Question:

Two numbers are in the ratio 5:6. If 8is subtracted from each of the numbers, the ratio becomes 4:5. find the numbers.

✵Answer:

Given data area as follows:

☛Ratio of two numbers is 5:6

↬Let the no.s be 5x and 6x

☛Then, 8 is subtracted from both no.s, now the new ratio= 4:5

↬So, the required equation would be,

$⇢\large{ \sf{ \frac{5x - 8}{6x - 8} = \frac{4}{5} }} \\ \sf{ \underline{ \underline{ \star{ \purple{ \: cross \: multiplying}}}}} \\ \\ ⇢ \large{ \sf{5(5x - 8) = 4(6x - 8)}} \\ \\ ⇢ \large{ \sf{25x - 40 = 24x - 32}} \\ \\ ⇢ \large { \sf{25x - 24x = - 32 + 40}} \\ \\ ⇢ \large{ \sf{x = 8}} \\ \\ \therefore{ \boxed{ \red{ \sf{the \: no.s \: are \: 5(8) = 40 \: and \: 6(8) = 48}}}}$

✵So final answer:

$\huge{ \boxed{ \green{ \bold{ = 40 \: and \: 48}}}}$