Answer:
The oldest child receive Rs 252 and the youngest child receive Rs 144
Step-by-step explanation:
The question in English is
A mother always reserves Rs 396.00 to give allowance for her two children. The amounts intended for each are proportional to their ages, which are 12 and 21 years. How much does each person receive from allowance?
Let
x ----> amount received by the oldest child
y ----> amount received by the youngest child
we know that
[tex]x+y=396[/tex] ------> equation A
[tex]\frac{x}{y}=\frac{21}{12}[/tex]
[tex]x=\frac{21}{12}y[/tex] ------> equation B
Solve the system by substitution
Substitute the equation B in equation A and solve for y
[tex]\frac{21}{12}y+y=396[/tex]
[tex]\frac{33}{12}y=396[/tex]
[tex]y=396*12/33[/tex]
[tex]y=144[/tex]
Find the value of x
[tex]x=\frac{21}{12}(144)=252[/tex]
therefore
The oldest child receive Rs 252 and the youngest child receive Rs 144
