Question

The sum of two numbers is 2490. If 6.5% of the first number is equal to 8.5% f the second number, find the numbers.

Answer 1

Let one number is x
Other 2490 - x
Now 6.5% of x = 8.5% of (2490- x)
65 x = 85 * 2490 - 85 x
85x +65x = 211650
150 x = 211650
x = 211650/150
x = 1411
one number is 1411
Other is 1079

Answer 2

Answer:

$\sf\underline{ \rm \green{given : }}$

• The sum of two numbers is 2490.
• 6.5% of the first number is equal to 8.5% the second number.

$\sf\underline{ \rm \green{to \: find : }}$

$\sf{both \: numbers}$

$\therefore \sf{let \: 1st \: no. \: be \: x} \\ \sf{then \: 2nd \: be \: (2490 - x)}$

$\sf \orange{according \: to \: question}$

$\rm{ \frac{6.5}{100} \times x = \frac{8.5}{100} \times (2490 - x)}$

$\rm{65x = 85 \times 2490 - 85x} \\ \rm{85x + 65x = 211650} \\ \rm{150x = 211650} \\ \rm{x = \frac{211650}{150} } \\ \rm{x = 1411}$

$\rm{hence \: 1st \: no. \: will \: be \: } \rm\red {1411}$

$\rm{ \:2nd \: no. \: will \: be \: (2490 - x)} \\ \rm{ = (2490 - 1411)} \\ = \rm \red{1079}$