What should be added to $4 x + 5 y$ to get $9 x + 7 y$ ?

2 x + 5 y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 x + 2 y

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

13 x + 12 y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

12 x + 13 y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $5 x + 2 y$
Let $a$ be the expression added to $4 x + 5 y$ to get $9 x + 7 y$ .
Now, according to the question:
$a + (4 x + 5 y) = 9 x + 7 y$

Subtracting $4 x + 5 y$ from both the sides of the equation:
$a + (4 x + 5 y) - (4 x + 5 y) = (9 x + 7 y) - (4 x + 5 y)$
$a = (9 x + 7 y) - (4 x + 5 y)$

$(9 x + 7 y) - (4 x + 5 y)$ can be evaluated using horizontal method as shown:
$a = (9 x + 7 y) - (4 x + 5 y) = (9 x - 4 x) + (7 y - 5 y)$
$∴ a = 5 x + 2 y$

$(9 x + 7 y) - (4 x + 5 y)$ can be evaluated using Column Method as:

$a = (9 x + 7 y) - (4 x + 5 y) = 5 x + 2 y$

Therefore, option (b.) is the correct answer.

Suggest Corrections

Similar questions

7 x^{2} - 5 x + 1

3 x^{2} + 4 x + 7

3 x^{2} - 2 x + 8

4 x^{2} - x + 2 ?

Which of the pairs given in options will add up to give $9 x + 5 y$ ?

16 x y \times 18 x y

23 x y^{2} \times 4 y z^{2}

(12 a + 17 b) \times 4 c

(4 x + 5 y) \times (9 x + 7 y)

\frac{1}{x - 2} + \frac{1}{x + 2}

\frac{4 x^{3}}{x^{4} - 16}

Join BYJU'S Learning Program