# 35 *** replace asterisks with even figures so that the half-scientific number was divided into 90. how many various numbers can it will turn out? prove the answer.

Temitveg

248

The number is divided into 90 in only case when it is divided into 9 and 10. 35 ABCs are divided into 10 only if the last figure — 0: 35ab0. On 9 share those natural numbers which sum of figures is multiple 9. That is 9 | (3 + 5 + a + b + 0) ⇔ 9 | (8 + a + b) that is possible only at (a, b) = (1, 0) = (0, 1), (1, 9), (9, 1). Answer's

**: 35100, 35010, 35190, 35910.**106

Answer add
dimitr

### Other questions in the section - maths

Kebaschag

Between what next numbers of a natural row there is a fraction: 1) 5.32;

2020-10-18 04:24:39

Laapsig

In the first day the bee-keeper extorted twice more honey, than in the second,

2020-10-18 04:24:39

Vyuanrelg

Write pzh a condition, solve a problem. Thank you in advance! The plane flew

2020-10-18 04:24:39

Nuavfirma

Task. The automobile plant releases 16326 cars a year. The sixth part of them

2020-10-18 04:24:39

Saev

At the boy of notebooks in a cage is 15 more, than in a

2020-10-18 04:24:39