The sum of a smaller number and a bigger number is 274. When the bigger number is divided by the smaller number, the quotient is 9 with the remainder 4. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 274
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 9 with 4
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 9 x 1 u + 4
= 9 u + 4
Total of the 2 numbers
= 9 u + 4 + 1 u
= 9 u + 1 u + 4
= 10 u + 4
10 u + 4 = 274
10 u = 274 - 4
10 u = 270
1 u = 270 ÷ 10 = 27
Smaller number
= 1 u
= 27
(b)
Bigger number
= 9 u + 4
= 9 x 27 + 4
= 247
Answer(s): (a) 27; (b) 247