Math, asked by Anonymous, 5 months ago

The ratio of two number is 3: 5. if both numbers are increased by 5 their ratio becomes 2:3 find the number.

Answers

Answered by Anonymous
4

Answer:

Let the numbers be 3x, 5x

5x+4

3x+4

=

3

2

9x+12=10x+8

x=4

∴ the number are 3 x 4 , 5 x 4

=12,20

Answered by MrSanju0123
125

 {\huge{\boxed{ \huge{ \boxed{\bf{\underline{ \underline{ \blue{ \bigstar{Answer}{ \bigstar}}}}}}}}}}

  \boxed{ \boxed{ \red{ \bf{The \:  Two \: numbers \:  are  \: 15  \: and \:  25 }}}}

Step-by-step explanation:

  { \huge{ \boxed{ \underline{ \underline{ \sf{GiveN}}}}}}

  • The Ratio of 2 numbers is 3:5

  • If both numbers are increased by 5 their ratio becomes 2:3

  { \huge{ \boxed{ \underline{ \underline{ \sf{To\: Find}}}}}}

  • The numbers ?

  { \huge{ \boxed{ \underline{ \underline{ \sf{ \star{SolutioN}}}{ \star}}}}}

  • Let the numbers be 3x:5x, we can write 3x:5x as  \frac{2x}{3x}

  • We can also write 3:5 as \frac{3}{5}

Given that when both numbers are increased by 5 their ratio becomes 2:3

Equation :-

  •  \bf \frac{3x + 5}{5x + 5}  =  \frac{2}{3}

  • \mathfrak {Do\:Cross\:Multiplication}

  • \bf  3(3x + 5) = 2(5x + 5)

  • \bf 9x + 15 = 10x + 10

  • \bf 9x - 10x = 10 - 15

  • \bf -x = -5

  •  \bf x = 5

So, x = 5

So, numbers are

  • 3x, 5x

  • 》3 × 5 = 15

  • 5 × 5 = 25
Similar questions