Question

Two numbers are such that the ratio between them is 4:5. But if each is increased
by 10, the ratio between them becomes 6:7. What are the numbers?
a) 20, 25 b) 21,27 c) 8,11 d) 17, 20 e) None of these​

Answer 1

Step-by-step explanation:

let twonimbers be 4x and 5x.....

both increased by10.....becomes....

$\frac{4x + 10}{5x + 10} = \frac{6}{7} \\ \\2 8x + 70 = 30x + 60 \\ \\ 10 = 2x \\ \\ x = 5....$

numbers are ...

4(5)= 20

5(5)= 25....

its option a)

Answer 2

Answer:

a

Step-by-step explanation:

1st method check options only that satisfies

2nd aprroach

a/b=4/5

(a+10)/(b+10)=6/7

equation 1: 5a-4b=0

equation 2: 7a-6b=-20

solve linearly a=20;b=25