Question

sum of two numbers is 103 if greater number is divided by smaller number then the quotient is 2and remainder is 19​

Answer 1

Answer:

the greater number is 75 and the smaller number is 28

Step-by-step explanation:

greater number----> x

smaller number----> y

x + y = 103

x ÷ y = 2 remainder= 19

if the variables were

10 ÷ 3= 3 remainder= 1

then

10= 3×3+1

similarly

x= 2y+19

now if we replace this with x in the first expression

2y+19+y = 103

2y+y=103-19

3y=84

y = 84 ÷3

y = 28

now taking the earlier expression

x = 2y+19

x = 2× 28 + 19

x = 56 + 19

x = 75

conclusion

x---->75

y---->28

the greater number is 75 and the smaller number is 28

Verification

75+28= 103

hence verified