Question

What is the least integer which when added to both terms of the ratio 5 : 9 will make a ratio greater than 7 : 10?
1) 5 2) 4 3) 1 4) 2​

Answer 1

Answer:

answer is 5

Step-by-step explanation:

Let x be the least integer added to both terms of the ratio 5 : 9

Then we get (5 + x) / (9 + x)

According to the question

(5 + x) / (9 + x) > 7/10

by cross multiplication

10(5 + x) > 7(9 + x)

50 + 10x > 63 + 7x

10x - 7x > 63 - 50

3x > 13

x > 13/3

x > 4 1/3(mixed fraction )

Therefore, the least integer required is 5