The sum of a smaller number and a bigger number is 298. When the bigger number is divided by the smaller number, the quotient is 3 with the remainder 2. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 298
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 3 with 2
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 3 x 1 u + 2
= 3 u + 2
Total of the 2 numbers
= 3 u + 2 + 1 u
= 3 u + 1 u + 2
= 4 u + 2
4 u + 2 = 298
4 u = 298 - 2
4 u = 296
1 u = 296 ÷ 4 = 74
Smaller number
= 1 u
= 74
(b)
Bigger number
= 3 u + 2
= 3 x 74 + 2
= 224
Answer(s): (a) 74; (b) 224