The sum of a smaller number and a bigger number is 299. When the bigger number is divided by the smaller number, the quotient is 2 with the remainder 5. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 299
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 2 with 5
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 2 x 1 u + 5
= 2 u + 5
Total of the 2 numbers
= 2 u + 5 + 1 u
= 2 u + 1 u + 5
= 3 u + 5
3 u + 5 = 299
3 u = 299 - 5
3 u = 294
1 u = 294 ÷ 3 = 98
Smaller number
= 1 u
= 98
(b)
Bigger number
= 2 u + 5
= 2 x 98 + 5
= 201
Answer(s): (a) 98; (b) 201