Question

The product of two 2-digit numbers is 1938 . If the product of their units digit is 28 and that of their tens digits is 15 , find the numbers

Answer 1

Interesting Question !!

Correction :

The product of two 2- digit number is 1938 if the product  of the units digit is 28 and that of tens digit is 15 find the numbers

Let  prime factorisation of 1938

⇒ 1938 = 969 × 2

⇒ 3 × 323  × 2

⇒ 3 × 17 × 19 × 2

The Product of unit digit is 28  and the tens digit is 15 . Take a trial

⇒ ( 3 × 19 ) and ( 2 × 17 )

⇒ 57 and 34

Take Product of unit digit

⇒ 7 × 4

⇒ 28

Take product of tens digit

⇒ 5 × 3

⇒ 15

Therefore , our required number are 57 and 34