arithmetic - one year ago the ratio between sumanth and amiths age was 43 one year hence the ratio of their ages will be 54 what is the sum of their present ages in years - skillgun

Let one year ago
Sumanth’s age be 4x years
And, Amith’s age be 3x years
Present age of Sumanth = (4x + 1) years
Present age of Amith = (3x + 1) years
One year hence
Sumanth’s age = (4x + 2) years+G38
Amith’s age = (3x + 2) years
According to question,
(4x + 2)/(3x + 2) = 5/4
16 + 8 = 15x + 10
or, x = 2
Sum of their present ages = 4x + 1 + 3x + 1
= 7x + 2
= 7 x 2 + 2 = 16 years.