Question

the sum of two positive integers is 105 .the integers are in the ratio
2:3. find the integer

Answer 1

let ints be x and y

ATQ 2x=3y

or x=(3/2)y

x+y=105 or (3/2)y+y=105

(5/2)y=105 or y=(105*2)/5

y=42 x=105-42=63

Answer 2

$2x + 3x = 105$

$5x = 105$

$x = \frac{105}{5}$

$x = 21$

$\pink{2 \times 21 = 42}$

$\pink{3 \times 21 = 63}$