Question

(2) The denominator of a fraction is 1 less than twice its numerator. If 1 is added to
numerator and denominator respectively, the ratio of numerator to denominator is 3 : 5.
Find the fraction.​

Answer 1

Now we know that by expanding the numbers we can write as

➠ 167 = 1 x 100 + 6 x 10 + 7

 ➠ 671 = 6 x 100 + 7 x 10 + 1

Now,

⟾ 167 + 716 + 671  

⟾ 1 x 100 + 6 x 10 + 7 + 7 x 100 + 1 x 10 + 6 + 6 x 100 + 7 x 10 + 1

⟾  (1 + 7 + 6)100 + (6 + 1 + 7)10 + (7 + 6 + 1) 14 x 100 + 14 x 10 + 14

⟾ 14(100 + 10 + 1)

⟾  14 x 111

⟾  14 x 3 x 37 (3 x 37 = 111)

⟾ 42 x 37