Question

Find all numbers of the form 135xy that are divisible by 45

Answer 1

Answer:

13545

13500 and

13590

Step-by-step explanation:

45 is the product of two co primes 9 and 5, so to check the divisibility by 45, we'll check the divisibility of 135xy by 9 and 5.

now for the number to be divisible by 5, y should be either zero or 5.

if y=0,

135xy should be such that 1+3+5+x+0 should be divisible by 9 in order for it to be divisible by 45.

this is possible if

x=0 , 9

therefore, 13500 and 13590 are numbers in this case.

if y=5,

1+3+5+x+5 should be divisible by 9

i.e. x should be 4

therefore number is 13545

Answer 2

Step-by-step explanation:

the answer will be -- 13500 or 13590 or 13545 .