The sum of a smaller number and a bigger number is 252. When the bigger number is divided by the smaller number, the quotient is 2 with the remainder 9. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 252
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 2 with 9
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 2 x 1 u + 9
= 2 u + 9
Total of the 2 numbers
= 2 u + 9 + 1 u
= 2 u + 1 u + 9
= 3 u + 9
3 u + 9 = 252
3 u = 252 - 9
3 u = 243
1 u = 243 ÷ 3 = 81
Smaller number
= 1 u
= 81
(b)
Bigger number
= 2 u + 9
= 2 x 81 + 9
= 171
Answer(s): (a) 81; (b) 171