Question

two numbers are in the ratio of 2 is to 3 if 15 added to the both number then the ratio between two numbers begins the number becomes 11 / 14 the find the greater number

Answer 1

Solution ↓

→ Let the two numbers be 2x and 3x. then

→ $\frac{2x}{3x}$

→ Adding 15 to both of them we will get :-

→ $\frac{2x\,+\,15}{3x\,+\,15}$

→ Then the it will become :-

→ $\frac{2x\,+\,15}{3x\,+\,15} = \frac{11}{14}$

→ According to question :-

→ $\frac{2x\,+\,15}{3x\,+\,15} = \frac{11}{14}$

→ 14(2x + 15) = 11(3x + 15)

→ 14(2x) + 14(15) = 11(3x) + 11(15)

→ 28x + 210 = 33x + 165

→ 28x - 33x = 165 - 210

→ -5x = -45

→ x = $\frac{-45}{-5}$

→ x = 9

→ Value of x = 9

→ $\frac{3x}{4x}$

→ $\frac{3(9)}{4(9)}$

→ $\frac{27}{28}$(Ans)

Therefore, $\frac{27}{28}$ = 27 : 28 and 28 is greater number.