Question

a positive integer is 3 more than a multple of 4 ,and 4 more than a multiple of 5. What is the least integer it could be?​

Answer 1

Answer:

19

Step-by-step explanation:

A positive integer is 3 more than a multiple of 4 and 4 more than a multiple of 5.What is the

least integers it ?

Let say number = n

3 more than a multiple of 4

=> n = 4a + 3

4 more than a multiple of 5

=> n = 5b + 4

Equating both

4a35b + 4

=> 4a = 5b + 1

=> 4a = 4b + (b + 1)

b + 1 = 4x

for least values x = 1

=> b+ 1 = 4

=> b = 3

& a = 4

Hence Equation is satisfied

for b = 3 & a = 4

n = 4a + 3 = 4*4 + 3 = 19

or n = 5b + 4 = 5 * 3+ 4 = 19

19 is 3 more than a multiple of 4 and 4 more than a multiple of 5

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Answer 2

Answer:

19 is the least no and the ans