Question

two Numbers are in the ratio 5:6 . if 8 is subtracted from each , the ratio become 4:5 find the number ​

Answer 1

Answer:

no.s = 40 and 48

Step-by-step explanation:

let no.s is 5x and 6x

A/Q

{(5x-8)/(6x-8)}. =(4/5)

25x-40= 24x-32

x=8

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Answer 2

Given :

• Two numbers are in the ratio = 5:6
• If 8 is subtracted from each , the ratio become 4:5.

To Find :

• The required numbers.

Solution :-

Let the one number be 5x.

And other number be 6x.

According to question ,

$: \implies{\sf{\dfrac{One\:number -8}{Other\:number-8} = \dfrac{4}{5} }}$

$: \implies{\sf{\dfrac{5x - 8}{6x - 8} = \dfrac{4}{5} }}$

$: \implies{\sf{5(5x - 8) = 4(6x - 8 ) }}$

$: \implies{\sf{25x - 40 = 24x - 32 }}$

$: \implies{\sf{25x - 24x = - 32 + 40 }}$

$: \implies{ \boxed{ \tt{x = 8 }}}$

$\therefore {\underline{\sf{\pink{One\:number\:is\:(5\times 8)=40.}}}}$

$\therefore {\underline{\sf{\pink{Other\:number\: is\:(6\times 8)=48.}}}}$

Verification :

We have,

• One number = 40
• Other number =48
• Two numbers are in the ratio = 5:6

$: \implies{ \sf{One\:number : Other\:number = 5:6 }}$

$: \implies{ \sf{40 :48 = 5:6 }}$

$: \implies{ \sf{\dfrac{\cancel{40}}{\cancel{48}} = 5 :6}}$

$: \implies{ \sf{ \dfrac{5}{6} = 5: 6 }}$

$: \implies{ \sf{5:6 = 5:6 }}$

$:\implies{ \boxed{ \tt{LHS = RHS }} }$

$\therefore {\underline{\bf{Verified.}}}$