Question

Q1. Two numbers are in the ratio 5:8.If 4is added to each number, we get a new ratio 8:11.Find the numbers.

Answer 1

Answer:

9:12

Step-by-step explanation:

Answer 2

${\huge {\underline {\sf {Answer}}}}$

${\underline {\rm{Given:}}}$

• Two numbers are in the ratio 5:8
• 4 is added to each number now the ratio is 8:11

${\underline {\rm {Find:}}}$

• The numbers

${\underline {\rm{Solution:}}}$

Let the numbers be 5x and 8x

☆According to the Question

$\implies\dfrac {5x+4}{8x+4}=\dfrac {8}{11}$

• Cross Multiplication

$\implies$11 ( 5x + 4 ) = 8 ( 8x + 4 )

$\implies$ 55x + 44 = 64x + 32

$\implies$ +44 - 32 = 64x - 55x

$\implies$ 12 = 9x

$\implies\dfrac {12}{9} = x$

$\implies$ 3 = x

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• The numbers are

✨1st number

= 5x = 5 × 3 = 15

✨2nd number

= 8x = 8 × 3 = 24

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