Question

What should be added to the ratio 5:11 so that the ration becomes 3:4

Answer 1

Answer:

k=13

Step-by-step explanation:

Let the number added be 'k'

Adding the number to both numerator and denominator

so, 5/11 becomes (5+k)/(11+k)=3/4

=4*(5+k)=3*(11+k)

=20+4k=33+3k

=4k-3k=33-20

k=13

Answer 2

Answer:

$\underline{ \underline{ \sf \maltese\:{Given:-}}}$

• First ratio = 5:11
• Second ratio = 3:4

$\underline{ \underline{ \sf \maltese \:{To \: find:-}}}$

• The number that should be added to each term of the first ratio to turn it into the second ratio.

$\underline{ \underline{ \sf \maltese \:{Solution:-}}}$

Let:-

• The required number = x

By the problem:-

$\rm\dfrac{5 + x}{11+x} = \dfrac{3}{4}$

⇒ 4(5 + x) = 3(11 +x)

⇒ 20 + 4x = 33 + 3x

⇒ 4x - 3x = 33 - 20

⇒ x = 13

•°• the number that should be added is 13