Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3 : 5. The larger number is
1). 36
2). 48
3). 56
4). 64
Let the numbers be 4x and 7x.
$\Rightarrow$\frac{4x+4}{7x+4}$=$\frac{3}{5}$
= 21x + 12 = 20x + 20
= 21x – 20x = 20 – 12
= x = 8
$\therefore$ Larger number
= 7x = 7 × 8 = 56