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 3. 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 3
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 2 x 1 u + 3
= 2 u + 3
Total of the 2 numbers
= 2 u + 3 + 1 u
= 2 u + 1 u + 3
= 3 u + 3
3 u + 3 = 252
3 u = 252 - 3
3 u = 249
1 u = 249 ÷ 3 = 83
Smaller number
= 1 u
= 83
(b)
Bigger number
= 2 u + 3
= 2 x 83 + 3
= 169
Answer(s): (a) 83; (b) 169
