Question

In a number, the digit at tens place is $2$ greater than the digit at ones place, the digit at hundreds place is $3$ greater than the digit at ones place, and the digit at ones place is $4.$ Find the number.

• A. $764$
• B. $754$
• C. All of the above
• D. $774$

Answer 1

The correct option is A $764$

Say:
The digit at tens place is $2$ greater than the digit at ones place.
The digit at hundreds place is $3$ greater than the digit at ones place.
The digit at ones place is $4.$
Let us find the number.
Step:
The digit at tens place $=2$ greater than the digit at ones place $=2+4=6$
The digit at hundreds place $=3$ greater than the digit at ones place $=3+4=7$
So, the number has $7$ at the hundreds place, $6$ at the tens place, and $4$ at the ones place.
So, the number $=7$ hundreds $+6$ tens $+4$ ones $=700+60+4=764$
Hence, option A is the correct answer.

Probing Q: If the digit at tens place was $2$ smaller than the digit at ones place, what will be the number?

A: Digit at ones place $=4$
Digit at hundreds place $=4+3=7$
Digit at tens place $=4–2=2$
So, the number will be $724.$