Question

The sum of four times of Keerthi's age and twice the age of her brother Shankar is 64. Choose the equation(s) that represent(s) the following situation accordingly.
(Assume Keerthi's age to be '$x$' and Shankar's age to be '$y$'.)

• A. $4x+2y=64$
• B. $2x+y=32$
• C. $2x+4y=64$
• D. $x+2y=32$

Answer 1

Answer: (A), (B)

The correct options are
A $4x+2y=64$
B $2x+y=32$

Given
4$\times$ Keerthi's age $+$ 2$\times$ Shankar's age = 64

Keerthi's age = $x$
Shankar's age = $y$

$\Rightarrow$ $4x+2y=64$
Diving the equation by 2 on both sides, we get
$\Rightarrow$ $2x+y=32$