Question

6.Sum of two numbers is 95. If one exceeds the other by 15, the numbers are.

(1 Point)

40,25

40, 55

35,56

67,78


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Answer 1

GIVEN :–

• Sum of two numbers is 95.

• One number exceeds the other by 15.

TO FIND :–

• Numbers = ?

SOLUTION :–

• Let the numbers are 'x' and 'y' .

▪︎ According to the first condition –

=> x + y = 95 —————eq.(1)

▪︎ According to second condition –

=> x = y + 15 —————eq.(2)

• Put the value of 'x' in eq.(2) –

=> (y + 15) + y = 95

=> 2y + 15 = 95

=> 2y = 95 - 15

=> 2y = 80

=> y = 40

• So that –

=> x = 40 + 15

=> x = 55

• Numbers = 40 , 55

▪︎ Hence , Second option is correct.

Answer 2

Step-by-step explanation:

${\red{\underline{\underline{\bold{Given:-}}}}}$

• The sum of two numbers = 95

• One number exceeds the other by 15

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• The two numbers.

${\green{\underline{\underline{\bold{Solution:-}}}}}$

Let the numbers be ' x ' and ' y '

☆The sum of numbers = 95

》x + y = 95 ............(i)

☆ One exceeds the other by 15

》 x = y + 15 ............(ii)

Substitute equation (ii) in (i) i.e Substitute the value of x in equation(i)

$x + y = 95 \\ \\ \implies (y + 15) + y = 95 \\ \\ \implies y + 15 + y = 95 \\ \\ \implies2y + 15 = 95 \\ \\ \implies2y = 95 - 15 \\ \\ \implies2y = 80 \\ \\ \implies y = \frac{80}{2} = 40$

Substituting y = 40 in equation(i)

x + y = 95

x + 40 = 95

x = 95 - 40

x = 55

Therefore,

x = 55 and y = 40

The numbers are 40 and 55

$\boxed{Option \: 2 \: is\: correct}$