The sum of a smaller number and a bigger number is 202. When the bigger number is divided by the smaller number, the quotient is 9 with the remainder 2. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 202
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 9 with 2
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 9 x 1 u + 2
= 9 u + 2
Total of the 2 numbers
= 9 u + 2 + 1 u
= 9 u + 1 u + 2
= 10 u + 2
10 u + 2 = 202
10 u = 202 - 2
10 u = 200
1 u = 200 ÷ 10 = 20
Smaller number
= 1 u
= 20
(b)
Bigger number
= 9 u + 2
= 9 x 20 + 2
= 182
Answer(s): (a) 20; (b) 182