The sum of a smaller number and a bigger number is 212. When the bigger number is divided by the smaller number, the quotient is 4 with the remainder 2. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 212
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 4 with 2
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 4 x 1 u + 2
= 4 u + 2
Total of the 2 numbers
= 4 u + 2 + 1 u
= 4 u + 1 u + 2
= 5 u + 2
5 u + 2 = 212
5 u = 212 - 2
5 u = 210
1 u = 210 ÷ 5 = 42
Smaller number
= 1 u
= 42
(b)
Bigger number
= 4 u + 2
= 4 x 42 + 2
= 170
Answer(s): (a) 42; (b) 170