Question

Two numbers are in the ratio 7:5. If they differ by 16, what are the numbers​

Answer 1

Step-by-step explanation:

Correct option is

A

50

Let x and y be the two numbers. Then

y

x

=

5

7

and x−y=20

Cross multiplying the proportion

5x=7y or y=

7

5

x

So, x−y=20

x−

7

5

x=20⇒

7

7x−5x

=

7

2x

=20

⇒x=

2

140

=70

y=

7

5

x=

7

5

×70=50

So smaller number is 50.

Check :

y

x

=

50

70

=

5

7

and 70−50=20

Please mark me as a brainliest