Question

Two (2) numbers are in the ratio 4:7. When each number is increased by 4, the ratio becomes 2:3. Therefore the numbers are(a) 8 and 14 (b) 16 and 28(c) 24 and 42(d) 32 and 56(e) None of the above

Answer 1

Step-by-step explanation:

The numbers are in the ratio 2:3.

Let the common ratio be x.

Therefore the numbers are 2x and 3x.

If 5 is added to both the numbers the ratio become 5:7.

Therefore, (2x + 5):(3x + 5)= 5 : 7

Therefore, 14x + 35 = 15x + 25

Therefore, x = 10

Thus, the numbers are 2x = 2 × 10 = 20 and 3x = 3 × 10 = 30