Question

two number are in the ratio 2:5 if the sum of the number is 49 find the number

Answer 1

$x + y = 49 \\ \frac{x}{y} = \frac{2}{5} \\ 5x = 2y \\ x = \frac{2}{5} y \\ \frac{2}{5} y + y =49 \\ \frac{7}{5} y = 49 \\ y = 35 \\ x = \frac{2}{5} \times 35 = 14$

Answer 2

Heya !

Answer : 14 and 35

Explanation :

Let x be a common multiple to remove ratio sign.

Now the no.s are 2x and 5x

Now framing a linear equation in x.

2x + 5x = 49. ( given )

7x = 49

x = 7

No. are :-

2x = 2×7 = 14 and

5x = 5 × 7 = 35



Hope it helps you.