An investor needs exactly $`1$ lakh after $2$ years and has $2$ bonds in mind with YTM of

$10\%.$ Bond A has an annual coupon of $7\%,$ maturing in $4$ years and is priced at

$904\mathrm{.}90.$ Bond B has an annual coupon of $6\%,$ maturing in one year and is priced at

$963\mathrm{.}64.$ How many bonds of each should he buy?